scientific article; zbMATH DE number 3626983
From MaRDI portal
Publication:4189109
zbMath0403.92020MaRDI QIDQ4189109
Publication date: 1978
Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.
ControlEpidemiologyBiochemical KineticsLocal StabilityPopulation DynamicsEquilibrium PointsIntegro- Differential EquationBiocybernetical ModellingBiorhythmic PhenomenaDelay-Differential EquationsFeed-BackSequence of Linked Linear Ordinary Differential EquationsTime Lags
Periodic solutions to ordinary differential equations (34C25) Population dynamics (general) (92D25) Control problems involving ordinary differential equations (34H05) Control/observation systems governed by ordinary differential equations (93C15) General biology and biomathematics (92B05) Stability theory for ordinary differential equations (34D99)
Related Items
Negative criteria for the existence of periodic solutions in a class of delay-differential equations, Analysis of a stochastic distributed delay epidemic model with relapse and Gamma distribution kernel, Persistence, stability and level crossings in an integrodifferential system, Nonexistence of periodic solutions in delayed Lotka--Volterra systems., Finite dimensional state representation of linear and nonlinear delay systems, Bifurcation analysis of a chemostat model with two distributed delays, Dynamics of a two-neuron system with discrete and distributed delays, Global analysis of HIV-1 dynamics with Hill type infection rate and intracellular delay, Bifurcation analysis of a turbidostat model with distributed delay, Density function and stationary distribution of a stochastic SIR model with distributed delay, The principal eigenvalue for a time-space periodic reaction-diffusion-advection equation with delay nutrient recycling, Long-time behaviors of a stochastic cooperative Lotka-Volterra system with distributed delay, Long-time behavior of a stochastic logistic equation with distributed delay and nonlinear perturbation, Unique stationary distribution and ergodicity of a stochastic logistic model with distributed delay, On the simultaneous estimation of delay model parameters in economic dynamics, Stationary distribution of a stochastic predator-prey model with distributed delay and general functional response, Transmission dynamics of tuberculosis with age-specific disease progression, Nonlinear oscillations in a discrete diffusive neutral logistic equation, Stationary distribution of a stochastic predator-prey model with distributed delay and higher order perturbations, Data-driven non-Markovian closure models, Equivalences between age structured models and state dependent distributed delay differential equations, A predator-prey reaction-diffusion system with nonlocal effects, Dynamics of a stochastic predator-prey model with distributed delay and Markovian switching, The role of four regulatory hormones in controlling testicular function in a delay model, On a predator prey model with nonlinear harvesting and distributed delay, Dynamical analysis of a stochastic three-species predator-prey system with distributed delays, Hopf bifurcation analysis of a turbidostat model with discrete delay, An operational matrix method to solve the Lotka-Volterra predator-prey models with discrete delays, Dynamics of a plasmid chemostat model with periodic nutrient input and delayed nutrient recycling, Dynamics of unidirectionally-coupled ring neural network with discrete and distributed delays, Asymptotic properties of a stochastic chemostat model with two distributed delays and nonlinear perturbation, Stationary distribution and extinction of a stochastic predator-prey model with distributed delay, The evolution of anisogamy: the adaptive significance of damage, repair and mortality, An alternative formulation for a delayed logistic equation, Bifurcation analysis of macrophages infection model with delayed immune response, Spatio-temporal delays in a nutrient-plankton model on a finite domain: Linear stability and bifurcations, Existence and global stability of positive periodic solutions of a predator-prey system with delays, Oscillation in pest population and its management: a mathematical study, A mechanistic mathematical model of temozolomide myelosuppression in children with high-grade gliomas, Oscillations induced by quiescent adult female in a model of wild \textit{aedes aegypti} mosquitoes, Neoclassical growth model with multiple distributed delays, Stability and persistence in plankton models with distributed delays., Periodic solution of a Lotka-Volterra predator-prey model with dispersion and time delays., Bifurcations and chaos in a predator-prey model with delay and a laser-diode system with self-sustained pulsations., Effects of fixed and continuously distributed delays in a monopoly model with constant price elasticity, Permanence, extinction and periodicity to a stochastic competitive model with infinite distributed delays, Observations on evolutionary models with (or without) time lag, and on problematical paradigms, Software for the numerical solution of systems of functional differential equations with state-dependent delays, Survival and stationary distribution of a stochastic facultative mutualism model with distributed delays and strong kernels, Asymptotic stability of grazing systems with unbounded delay, Intrinsic parameters and stability of differential-delay equations, A theory of synchrony for active compartments with delays coupled through bulk diffusion, Stationary solution, extinction and density function for a high-dimensional stochastic SEI epidemic model with general distributed delay, Global dynamics of strongly monotone retarded equations with infinite delay, A nonlinear continuous-time model for a semelparous species, On bifurcations and chaos in predator-prey models with delay, Dynamics of a stochastic Markovian switching predator-prey model with infinite memory and general Lévy jumps, Permanence and the dynamics of biological systems, Hopf bifurcation in three-species food chain models with group defense, The relative variance criterion for stability of delay systems, Delay differential logistic equations with harvesting, Bifurcations in an internet congestion control system with distributed delay, Direction and stability of bifurcating periodic solutions of a chemostat model with two distributed delays, Hopf bifurcation of a bacteria-immunity system with delayed quorum sensing, Mathematical models of the microbial populations and issues concerning stability, On a nonlinear nonautonomous predator--prey model with diffusion and distributed delay, Effects of ecological differentiation on Lotka--Volterra systems for species with behavioral adaptation and variable growth rates, Transient oscillations induced by delayed growth response in the chemostat, Analysis of oscillations in yeast continuous cultures by a new simplified model, Hopf bifurcation and harvesting control of a bioeconomic plankton model with delay and diffusion terms, Evolutionary dynamics of collective action when individual fitness derives from group decisions taken in the past, Complete dynamical analysis for a nonlinear HTLV-I infection model with distributed delay, CTL response and immune impairment, Chaos in delay-induced Leslie-Gower prey-predator-parasite model and its control through prey harvesting, Extinction and stationary distribution of a competition system with distributed delays and higher order coupled noises, The effect of age-dependent host mortality on the dynamics of an endemic disease, Viral dynamics of an HIV stochastic model with cell-to-cell infection, CTL immune response and distributed delays, Finite dimensional state representation of physiologically structured populations, An alternative delayed population growth difference equation model, An optimal scheme to boost immunity and suppress viruses for HIV by combining a phased immunotherapy with the sustaining antiviral therapy, How fast is the linear chain trick? A rigorous analysis in the context of behavioral epidemiology, Influence of time delay and nonlinear diffusion on herbivore outbreak, Stationary distribution and extinction of a stochastic HIV-1 infection model with distributed delay and logistic growth, Hopf bifurcation analysis in a predator-prey model with predator-age structure and predator-prey reaction time delay, A new approach to simulating stochastic delayed systems, Bifurcation analysis in a diffusive logistic population model with two delayed density-dependent feedback terms, Analysis of a stochastic competitive model with saturation effect and distributed delay, Dynamics of a stochastic SIR epidemic model with distributed delay and degenerate diffusion, Center manifold reduction and perturbation method in a delayed model with a mound-shaped Cobb-Douglas production function, Age-dependent predation is not a simple process. I. Continuous time models, A delay-differential equation model of HIV infection of \(\text{CD}4^+\) T-cells, Stationary distribution, extinction, density function and periodicity of an \(n\)-species competition system with infinite distributed delays and nonlinear perturbations, Numerical modelling in biosciences using delay differential equations, Dynamics of constrained differential delay equations, A stochastic turbidostat model coupled with distributed delay and degenerate diffusion: dynamics analysis, On pole assignment of high-order discrete-time linear systems with multiple state and input delays, Bifurcation analysis for a single population model with advection, Structured population models, conservation laws, and delay equations, Nonautonomous Lotka-Volterra systems with delays, Qualitative theory of compartmental systems with lags., On optimal choice of delay equations to model shrimp population dynamics in Sofala Bank, Mozambique, Three-species food-chain models with mutual interference and time delays, Interaction of spatial diffusion and delays in models of genetic control by repression, Discrete-time map for an impulsive Goodwin oscillator with a distributed delay, Two delays may not destabilize although either delay can, Effects of additional food on an ecoepidemic model with time delay on infection, Approximation of eigenvalues of evolution operators for linear coupled renewal and retarded functional differential equations, Switching from simple to complex dynamics in a predator-prey-parasite model: an interplay between infection rate and incubation delay, Mathematical models of Ebola -- consequences of underlying assumptions, Stability boundaries for nonreducible distributed delays, Global stability of single-species diffusion Volterra models with continuous time delays, Recasting nonlinear differential equations as S-systems: a canonical nonlinear form, Global stability and periodic orbits for two-patch predator-prey diffusion-delay models, The shape of things to come: using models with physiological structure to predict mortality trajectories, An epidemic model with a time delay in transmission., Global attractivity of positive periodic solution to periodic Lotka-Volterra competition systems with pure delay, Simultaneous observation and identification for nonlinear systems under unknown time-varying delays, Period to delay ratio near stability boundaries for systems with delayed feedback, Modelling a single-species closed habitat fishery with spatial heterogeneity and time delay, Existence and dependence results for semilinear functional stochastic differential equations with infinite delay in a Hilbert space, Delay-dependent asymptotic stability for neural networks with distributed delays, Conditions for global stability of two-species population models with discrete time delay, Stabilization of some linear systems with both state and input delays, Rotating waves in scalar equations with Neumann boundary conditions, Dynamics of a ratio-dependent prey-predator system with selective harvesting of predator species, Application of nonlinear mapping theory to commodity price fluctuations, The stability chart for the linearized Cushing equation with a discrete delay and with gamma-distributed delays, Repellers in systems with infinite delay, Reducible Volterra and Levin-Nohel retarded equations with infinite delay, Relaxation oscillations in spruce-budworm interactions, Global dynamics for a new high-dimensional SIR model with distributed delay, Density dependence, lifespan and the evolutionary dynamics of longevity, Mathematical analysis of the global dynamics of an eco-epidemiological model with time delay, Delay induced stability switch, multitype bistability and chaos in an intraguild predation model, An activation-inhibition model of cyclic granulopoiesis in chronic granulocytic leukemia, Dynamics of multi-stage infections on networks, Dynamical behaviors of a delayed HBV infection model with logistic hepatocyte growth, cure rate and CTL immune response, Bifurcation with regard to combined interaction parameter in a life energy system dynamic model of two components with multiple delays, Theoretical consequences of competition between successive generations on population stability and life cycle evolution, Positive periodic solutions for neutral delay ratio-dependent predator-prey model with Holling-Tanner functional response, Global stability and Hopf bifurcation of a predator-prey model with stage structure and delayed predator response, Numerical treatment of delay differential equations by Hermite interpolation, Chaos in a tumor growth model with delayed responses of the immune system, Approximate solution of a model of biological immune responses incorporating delay, Stabilization of linear systems with distributed input delay and input saturation, Passage time statistics in exponential distributed time-delay models: noisy asymptotic dynamics, Phase and amplitude instability in delay-diffusion population models, Discrete delay, distributed delay and stability switches, Age structure in predator-prey systems. I. A general model and a specific example, State-dependent neutral delay equations from population dynamics, Mathematical modeling of Glassy-winged sharpshooter population, Geometric and probabilistic stability criteria for delay systems, Stability of bumps in a two-population neural-field model with quasi-power temporal kernels, Neuronal model with distributed delay: analysis and simulation study for gamma distribution memory kernel, Taylor collocation approach for delayed Lotka-Volterra predator-prey system, Hopf bifurcation and spatial patterns of a delayed biological economic system with diffusion, Stability and bifurcation analysis of a reaction-diffusion equation with distributed delay, Effect of time delay on a harvested predator-prey model, Impacts of incubation delay on the dynamics of an eco-epidemiological system -- a theoretical study, Singular perturbation analysis and gene regulatory networks with delay, Global properties of vector-host disease models with time delays, Nonlinear dynamics in a Solow model with delay and non-convex technology, Permanence and almost periodic sequence solution for a discrete delay logistic equation with feedback control, Temporal and spatiotemporal variations in a mathematical model of macrophage-tumor inter\-action, Periodic solutions of competition Lotka-Volterra dynamic system on time scales, Nonlinear modelling of chemostat model with time delay and impulsive effect, Non-Fickian delay reaction-diffusion equations: theoretical and numerical study, Periodic solution for a three-species Lotka-Volterra food-chain model with time delays, Permanence for a delayed predator-prey model of prey dispersal in two-patch environments, Hopf bifurcation direction of a delayed bacteria-immunity system with quorum sensing mechanism, Block boundary value methods for delay differential equations, The dynamics of production and destruction: Analytic insight into complex behavior, Complementarity between term-time forcing and delayed vaccination response in explaining irregular dynamics in childhood diseases, Stability switch and Hopf bifurcation for a diffusive prey-predator system with delay, Dynamic hematological disease: a review, Boolean delay equations: A simple way of looking at complex systems, Mathematical model of radiation effects on thrombopoiesis in rhesus macaques and humans, Limit cycle and numerical similations for small and large delays in a predator-prey model with modified Leslie-Gower and Holling-type II schemes, Travelling waves in the Nicholson's blowflies equation with spatio-temporal delay, Global asymptotic behavior in chemostat-type competition models with delay, Qualitative behaviour of a ratio-dependent predator-prey system, Oscillations in a system with material cycling, Global stability results for a generalized Lotka-Volterra system with distributed delays. Applications to predator-prey and epidemic systems, Some aspects of causal and neutral equations used in modelling, The stability of a diffusion model of plankton allelopathy with spatio-temporal delays, Role of delay on planktonic ecosystem in the presence of a toxic producing phytoplankton, A bacteria-immunity system with delayed quorum sensing, A perturbation-incremental scheme for studying Hopf bifurcation in delayed differential systems, On the use of reducible-functional differential equations in biological models, The dynamics of population models with distributed maturation periods, Stability of functional partial differential equations, Global asymptotic stability in Volterra's population systems, An analytical solution for a class of delay-differential equations in pharmacokinetic compartment modeling, Separable models in age-dependent population dynamics, Models of genetic control by repression with time delays and spatial effects, Quantitative analysis of the Hopf bifurcation in the Goodwin n- dimensional metabolic control system, Monod's bacterial growth model revisited, Lyapunov stability for a class of predator--prey model with delayed nutrient recycling, Periodic solutions of an \(n\)-species Lotka--Volterra type food-chain model with time delays, Models for age structured populations with distributed maturation rates, Stability switches in distributed delay models, Coexistence in two-species competition with delayed maturation, Dynamics of a predator-prey model with distributed delay to represent the conversion process or maturation, Dynamical behavior of a stochastic Nicholson's blowflies model with distributed delay and degenerate diffusion, Stochastic bifurcation and density function analysis of a stochastic logistic equation with distributed delay and strong kernel, Impact of time delay and cooperation strategy on the stability of a predator–prey model with Holling type III functional response, Control barrier functionals: Safety‐critical control for time delay systems, Destabilization of periodic solutions arising in delay-diffusion systems in several space dimensions, Production-inventory system controller design and supply chain dynamics, Analysis of a stochastic Lotka–Volterra competitive system with infinite delays and Ornstein–Uhlenbeck process, Linear stability criteria in a reaction-diffusion equation with spatially inhomogeneous delay, Stability and bifurcation in a tri-neuron network model with discrete and distributed delays, Existence and stability of traveling wave fronts in reaction advection diffusion equations with nonlocal delay, When Are HJB-Equations in Stochastic Control of Delay Systems Finite Dimensional?, Dynamics of Neural Systems with Discrete and Distributed Time Delays, Delay induced oscillation in predator-prey system with Beddington-DeAngelis functional re\-sponse, A time-delay model of single-species growth with stage structure, Periodic solutions for a delayed predator-prey model of prey dispersal in two-patch environ\-ments, Effect of time delay on pattern formation: Competition between homogenisation and patterning, Persistence and global stability in a delayed predator-prey system with Holling-type functional response, DYNAMICS OF A SEGMENTATION CLOCK MODEL WITH DISCRETE AND DISTRIBUTED DELAYS, Global stability and Hopf bifurcation of a plankton model with time delay, Global dynamics and complex patterns in Lotka-Volterra systems: the effects of both local and nonlocal intraspecific and interspecific competitions, Hopf bifurcation in a reaction-diffusion equation with distributed delay and Dirichlet boundary condition, Long-time behaviour of a stochastic chemostat model with distributed delay, Robust multi-objective optimal switching control arising in 1,3-propanediol microbial fed-batch process, Distributed Delay Effects on Coupled van der Pol Oscillators, and a Chaotic van der Pol-Rayleigh System, Bifurcations and Dynamics in Modified Two Population Neuronal Network Models, Amplitude death, oscillation death, and periodic regimes in dynamically coupled Landau-Stuart oscillators with and without distributed delay, Evaluations of interventions using mathematical models with exponential and non-exponential distributions for disease stages: the case of Ebola, Great delay in a predator-prey model, Stability in a scalar differential equation with multiple, distributed time delays, Unnamed Item, The effect of delays on stability and persistence in plankton models, Stochastic bifurcation and density function analysis of a stochastic logistic equation with distributed delay and weak kernel, A Delayed Eco-Epidemiological Model with Weak Allee Effect and Disease in Prey, The spatially homogeneous Hopf bifurcation induced jointly by memory and general delays in a diffusive system, Dynamic behavior of a general stochastic HIV model with virus-to-cell infection, cell-to-cell transmission, immune response and distributed delays, Stability analysis of a single-species logistic model with time delay and constant inflow, On the perturbation of the kernel for delay systems with continuous kernels, Assessing Markovian and delay models for single-nucleus RNA sequencing, A note on the stationary probability density function and covariance matrix of a stochastic chemostat model with distributed delay, Bifurcations in an economic growth model with a distributed time delay transformed to ODE, An HIV stochastic model with cell-to-cell infection, B-cell immune response and distributed delay, Partial permanence and stationary distribution of a stochastic competitive model with feedback controls and distributed delays, Turing-Hopf bifurcation and bi-stable spatiotemporal periodic orbits in a delayed predator-prey model with predator-taxis, Turing–Hopf bifurcation of a diffusive Holling–Tanner model with nonlocal effect and digestion time delay, Epidemiological models with non-exponentially distributed disease stages and applications to disease control, Construction of differential equation approximations to delay differential equations, Breeding adjustment of small mammals to avoid predation, Dynamical behavior of stochastic predator-prey models with distributed delay and general functional response, Global attractivity of a generalized Lotka-Volterra competition model, A numerical method for solutions of Lotka–Volterra predator–prey model with time-delay, A practical guide to mathematical methods for estimating infectious disease outbreak risks, Mathematical aspects of physiologically structured populations: the contributions of J. A. J. Metz, Global stability and bifurcation analysis of a delay induced prey-predator system with stage structure, Stationary distribution, extinction and density function for a stochastic HIV model with a Hill-type infection rate and distributed delay, Global stability for a heroin model with two distributed delays, Robust delay-dependent stability of uncertain inertial neural networks with impulsive effects and distributed-delay, A Chaotic Chemical Reactor With and Without Delay: Bifurcations, Competitive Modes, and Amplitude Death, ON SELECTIVE HARVESTING OF TWO COMPETING FISH SPECIES IN THE PRESENCE OF ENVIRONMENTAL FLUCTUATION, Numerical methods for structured population models: The Escalator Boxcar Train, Stability analysis of within-host parasite models with delays, Discrete stochastic analogs of Erlang epidemic models, Path Dependence in Models with Fading Memory or Adaptive Learning, Stable oscillations in a predator-prey model with time lag, Competitive exclusion in a vector–host epidemic model with distributed delay†, Analysis of a bacteria-immunity model with delay quorum sensing, Revival of oscillations from deaths in diffusively coupled nonlinear systems: Theory and experiment, Effect of time delay on a detritus-based ecosystem, Delay differential logistic equation with linear harvesting, Stable oscillations in a predator-prey model with time lag, Periodic solution and wave front solution for delay equation, Discrete waves and phase-locked oscillations in the growth of a single-species population over a patchy environment, Nutrient-plankton models with nutrient recycling, DEMOGRAPHY IN MACROECONOMIC MODELS: WHEN LABOUR SUPPLY MATTERS FOR ECONOMIC CYCLES, Global Stability of a Biological Model with Time Delay, The stability of supply chains, Mathematical models and stabilizing bio-control mechanisms for microbial populations in a cultured environment, A mathematical model of HIV-1 infection including the saturation effect of healthy cell proliferation, Dynamical behavior of a stochastic model of gene expression with distributed delay and degenerate diffusion, Effects of distributed delays on the stability of structures under seismic excitation and multiplicative noise., The advancement of oscillation theory of functional-differential equations, Competition between plasmid-bearing and plasmid-free organisms in a chemostat with nutrient recycling and an inhibitor, COMPLEX DYNAMICS IN A KEYNESIAN GROWTH MODEL, Distributed Delay Differential Equation Representations of Cyclic Differential Equations, Global attractors for difference equations dominated by one-dimensional maps, Fokker–Planck equations for globally coupled many-body systems with time delays, Dynamics of stochastic predator–prey models with distributed delay and stage structure for prey, Dynamics of Wild and Sterile Mosquito Population Models with Delayed Releasing, Diffusive spatial movement with memory and maturation delays, Stochastic properties of solution for a chemostat model with a distributed delay and random disturbance, Stability and Hopf bifurcation analysis in a Lotka–Volterra competition–diffusion–advection model with time delay effect *, Qualitative analysis of the Oregonator model, Generalizations of the `linear chain trick': incorporating more flexible dwell time distributions into mean field ODE models, Global asymptotic behavior of the n-species lotka-volterra tree systems with continuous time delay*, Unnamed Item, Stability and Bifurcation Analysis of Cyclic Genetic Regulatory Networks with Mixed Time Delays, Stability switches in a class of characteristic equations with delay-dependent parameters, Equations with infinite delay: numerical bifurcation analysis via pseudospectral discretization, Discrete stochastic metapopulation model with arbitrarily distributed infectious period, Hopf bifurcation and stability of a competition diffusion system with distributed delay, Building mean field ODE models using the generalized linear chain trick & Markov chain theory, BIBO stabilization of feedback control systems with time dependent delays, Stability and bifurcation analysis of a reaction-diffusion equation with spatio-temporal delay, Theory and applications of Hopf bifurcations in symmetric functional differential equations
