The elements of physical biology.

zbMATH Open51.0416.06MaRDI QIDQ1454053

Alfred J. Lotka

Publication date: 1925

Related Items (73)

Classical and generalized solutions of an alarm-taxis model ⋮ Asymptotic behaviors for delay Lotka-Volterra model disturbed by \(G\)-Brownian motion ⋮ Complex dynamics of predator-prey systems with Allee effect ⋮ Stability and bifurcation analysis of Bazykin's model with Holling I functional response and Allee effect ⋮ Steady-state bifurcation in Previte-Hoffman model ⋮ Global dynamics of a predator-prey model with simplified Holling type IV functional response and fear effect ⋮ Spatiotemporal dynamics and bifurcation analysis of a generalized two-prey one-predator system with diffusion and double prey-taxes ⋮ Impact of fear and group defense on the dynamics of a predator-prey system ⋮ Bifurcation analysis of a predator-prey model with alternative prey and prey refuges ⋮ Dynamics of a class of prey-predator models with singular perturbation and distributed delay ⋮ Processes governing species richness in communities exposed to temporal environmental stochasticity: a review and synthesis of modelling approaches ⋮ Existence and asymptotic behaviour of positive solutions to a stochastic multispecies Holling type II model ⋮ Fear and delay effects on a food chain system with two kinds of different functional responses ⋮ Fixed points stability, bifurcation analysis, and chaos control of a Lotka-Volterra model with two predators and their prey ⋮ Turing patterns induced by self-diffusion in a predator-prey model with schooling behavior in predator and prey ⋮ An analysis of hybrid impulsive prey-predator-mutualist system on nonuniform time domains ⋮ Bifurcation analysis of autonomous and nonautonomous modified Leslie-Gower models ⋮ On the dynamics of predator-prey models with role reversal ⋮ Chaotic dynamics of a tri-topic food chain model with Beddington-DeAngelis functional response in presence of fear effect ⋮ Existence, uniqueness and asymptotic behavior of solutions for a nonsmooth producer-grazer system with stoichiometric constraints ⋮ Global harvesting and stocking dynamics in a modified Rosenzweig-MacArthur model ⋮ Understanding multiple species ecosystem dynamics using a consumer resource model ⋮ Quantifying population dynamics via a geometric mean predator-prey model ⋮ Interpretable polynomial neural ordinary differential equations ⋮ Bifurcation analysis of predator-prey model with Cosner type functional response and combined harvesting ⋮ Hopf bifurcation in a delayed prey-predator model with prey refuge involving fear effect ⋮ Oscillatory solutions in a 3D predation system with time delay and age structure ⋮ Existence results and behavior analysis for nonlinear age-dependent population dynamics problems with conformable fractional operator ⋮ Fractional order prey-predator model incorporating immigration on prey: complexity analysis and its control ⋮ Spatiotemporal dynamics of prey-predator model incorporating Holling-type II functional response with fear and its carryover effects ⋮ Meshless partition of unity method for attraction basins of periodic orbits: fast detection of separatrix points ⋮ Dynamics of a generalist predator-prey system with harvesting and hunting cooperation in deterministic/stochastic environment ⋮ On the slow-fast dynamics of a tri-trophic food chain model with fear and Allee effects ⋮ Crucial impact of component Allee effect in predator-prey system ⋮ Does mutual interference stabilize prey-predator model with Bazykin-Crowley-Martin trophic function? ⋮ Instability of oscillations in the Rosenzweig-MacArthur model of one consumer and two resources ⋮ Reaction-diffusion equations with transport noise and critical superlinear diffusion: global well-posedness of weakly dissipative systems ⋮ Complex dynamical study of a delayed prey-predator model with fear in prey and square root harvesting of both species ⋮ The stabilizing effect of small prey immigration on competitive predator-prey dynamics ⋮ Qualitative properties and optimal control strategy on a novel fractional three-species food chain model ⋮ Heterogeneous mean-field analysis of the generalized Lotka-Volterra model on a network ⋮ Dynamics of a stage-structured predator-prey system with fear-induced group defense in autonomous and nonautonomous settings ⋮ Chaos and extinction risks of sexually reproductive generalist top predator in a seasonally forced food chain system with Allee effect ⋮ Hopf bifurcation in a delayed predator-prey system with general group defence for prey ⋮ An improved algebraic approach to proving global stability of autonomous polynomial differential systems with applications to epidemic models ⋮ Joint impact of maturation delay and fear effect on the population dynamics of a predator-prey system ⋮ Deciphering two delay dynamics of ecological system with generalist predator incorporating competitive interference ⋮ Modeling competition in motionless populations ⋮ Martingale solutions and asymptotic behaviors for a stochastic cross-diffusion three-species food chain model with prey-taxis ⋮ Complex dynamics and chaos control of a discrete-time predator-prey model ⋮ Dynamic behaviours and bifurcation analysis of a Filippov ecosystem with fear effect ⋮ Multiscale effects of predator-prey systems with Holling-III functional response ⋮ Global dynamics of two-species amensalism model with Beddington-DeAngelis functional response and fear effect ⋮ Complex dynamics of a discrete-time food chain model ⋮ Slow-fast dynamics of a piecewise-smooth Leslie-Gower model with Holling type-I functional response and weak Allee effect ⋮ Local and global dynamics of a ratio-dependent Holling-Tanner predator-prey model with strong Allee effect ⋮ Bifurcation analysis in a modified Leslie-Gower predator-prey model with Beddington-DeAngelis functional response ⋮ Dynamical behaviors of a discrete-time prey-predator model with harvesting effect on the predator ⋮ Periodic orbits in the zero-Hopf bifurcations of 3-dimensional Kolmogorov systems of degree 3 ⋮ Predator discrimination promotes the coexistence of prey and predator ⋮ Global stability of periodic solution for a 3-species nonautonomous ratio-dependent diffusive predator-prey system ⋮ Study of the nonelementary singular points and the dynamics near the infinity in predator-prey systems ⋮ Dynamics of a discrete one-predator two-prey system with Michaelis-Menten-type prey harvesting and prey refuge ⋮ Predator-prey model with SI disease dynamics in predators, increased hunger risk for infected predators, and optimal control strategies ⋮ Numerical study of the reaction diffusion prey-predator model having Holling II increasing function in the predator under noisy environment ⋮ Bifurcations of codimension 4 in a Leslie-type predator-prey model with Allee effects ⋮ Effects of extra resource and harvesting on the pattern formation for a predation system ⋮ Global Hopf bifurcation of a delayed diffusive gause-type predator-prey system with the fear effect and Holling type III functional response ⋮ Dynamics and control of two-dimensional discrete-time biological model incorporating weak Allee's effect ⋮ Local and global dynamics of a prey-predator system with fear, Allee effect, and variable attack rate ⋮ Dynamics of a slow-fast Leslie-Gower predator-prey model with prey harvesting ⋮ The eco-evolutionary dynamics of two strategic species: from the predator-prey to the innocent-spreader rumor model ⋮ PULSAR effect: revealing potential synergies in combined radiation therapy and immunotherapy via differential equations

This page was built for publication: The elements of physical biology.

Report a bug (only for logged in users!)Click here to report a bug for this page (MaRDI item Q1454053)