DOI10.1016/0025-5564(95)00104-2zbMath0844.92025OpenAlexW2082657248WikidataQ52305368 ScholiaQ52305368MaRDI QIDQ1914210
Sergio Rinaldi, Yuri A. Kuznetsov
Publication date: 29 August 1996
Published in: Mathematical Biosciences (Search for Journal in Brave)
Full work available at URL: https://ir.cwi.nl/pub/4994
Stability analysis of mathematical model for spread of pest in tea plant by RKM-4 and ABM-2,
Nilpotent singularities and chaos: tritrophic food chains,
RICH DYNAMICS OF A TIME-DELAYED FOOD CHAIN MODEL,
Ecological resilience of population cycles: a dynamic perspective of regime shift,
Modelling of predator-prey trophic interactions. II: Three trophic levels,
Dynamical complexity of a delay-induced eco-epidemic model with Beddington-DeAngelis incidence rate,
SYNCHRONIZATION AND PEAK-TO-PEAK DYNAMICS IN NETWORKS OF LOW-DIMENSIONAL CHAOTIC OSCILLATORS,
Peak-to-peak dynamics in food chain models,
OBSERVABILITY OF CHAOS AND CYCLES IN ECOLOGICAL SYSTEMS: LESSONS FROM PREDATOR–PREY MODELS,
Synchrony in tritrophic food chain metacommunities,
Effect of seasonality on the dynamics of 2 and 3 species prey\,-\,predator systems,
Permanence for the Michaelis--Menten type discrete three-species ratio-dependent food chain model with delay,
Impulsive perturbations of a three-trophic prey-dependent food chain system,
Metapopulation oscillations from satiation of predators,
Dynamics of an additional food provided predator-prey system with prey refuge dependent on both species and constant harvest in predator,
METHODS OF THE QUALITATIVE THEORY FOR THE HINDMARSH–ROSE MODEL: A CASE STUDY – A TUTORIAL,
A Michaelis–Menten Predator–Prey Model with Strong Allee Effect and Disease in Prey Incorporating Prey Refuge,
Complex dynamics in a food chain with slow and fast processes,
Stochastic sensitivity technique in a persistence analysis of randomly forced population systems with multiple trophic levels,
The relative importance of herbivory and carnivory on the distribution of energy in a stochastic tri-trophic food web,
Bifurcation analysis of a Kolmogorov type tritrophic model,
On a three-dimensional and two four-dimensional oncolytic viro-therapy models,
Dynamical behavior of fractional-order Hastings-powell food chain model and its discretization,
Analysis of Noise-Induced Bifurcations in the Stochastic Tritrophic Population System,
Dynamical inquest of refuge and bubbling issues in an interacting species system,
How environmental noise can contract and destroy a persistence zone in population models with Allee effect,
An Ecoepidemic Model with Prey Herd Behavior and Predator Feeding Saturation Response on Both Healthy and Diseased Prey,
Detection of Turing patterns in a three species food chain model via amplitude equation,
Complex oscillatory patterns in a three-timescale model of a generalist predator and a specialist predator competing for a common prey,
Global stability and Hopf bifurcation for Gause-type predator-prey system,
Multiple attractors and crisis route to chaos in a model food-chain.,
Multiple periodic solutions to a kind of Lotka-Volterra food-chain system with delays and impulses on time scales,
Study of a tri-trophic prey-dependent food chain model of interacting populations,
Study of a Leslie-Gower-type tritrophic population model,
Chaotic oscillations and cycles in multi-trophic ecological systems,
Biological control of a predator-prey system through provision of a super predator,
Global dynamics of the Hastings-Powell system,
The dynamics of two diffusively coupled predator--prey populations.,
Bifurcation analysis and control of chaos for a hybrid ratio-dependent three species food chain,
Effect of time-delay on a food chain model,
CONTINUATION OF CONNECTING ORBITS IN 3D-ODEs (I): POINT-TO-CYCLE CONNECTIONS,
Mathematical analysis on an extended Rosenzweig-MacArthur model of tri-trophic food chain,
Bifurcation analysis of piecewise smooth ecological models,
Bifurcations in ecosystem models and their biological interpretation,
Food chain chaos with canard explosion,
Harvesting induced stability and instability in a tri-trophic food chain,
Food chain chaos due to transcritical point,
Food chain chaos due to junction-fold point,
The dynamic complexity of a three-species Beddington-type food chain with impulsive control strategy,
Global qualitative analysis of coupled three-level food chains,
QUALITATIVE RESONANCE OF SHIL'NIKOV-LIKE STRANGE ATTRACTORS, PART I: EXPERIMENTAL EVIDENCE,
QUALITATIVE RESONANCE OF SHIL'NIKOV-LIKE STRANGE ATTRACTORS, PART II: MATHEMATICAL ANALYSIS,
Analytical study of a triple Hopf bifurcation in a tritrophic food chain model,
Stability and Hopf bifurcation analysis in a three-level food chain system with delay,
Multiple attractors and boundary crises in a tri-trophic food chain,
Topological horseshoe and its uniform hyperbolicity in the HP model,
Hopf-transcritical bifurcation in retarded functional differential equations,
Analysis of the dynamics of a realistic ecological model,
Usefulness of Biocontrol of Pests in Tea: A Mathematical Model,
Ecological consequences of global bifurcations in some food chain models,
Constructing ecologies,
A Leslie-Gower predator-prey model with disease in prey incorporating a prey refuge,
NUMERICAL REVISIT TO A CLASS OF ONE-PREDATOR, TWO-PREY MODELS,
Dynamical behaviour of a two prey and one predator system,
Rich dynamics of a food chain model with Hassell-Varley type functional responses,
MULTIPLE POSITIVE PERIODIC SOLUTIONS TO m-LAYER PERIODIC LOTKA–VOLTERRA NETWORK-LIKE MULTIDIRECTIONAL FOOD-CHAIN WITH HARVESTING TERMS,
Joint effects of nutrients and contaminants on the dynamics of a food chain in marine eco\-systems,
A nonlinear time transformation method to compute all the coefficients for the homoclinic bifurcation in the quadratic Takens-Bogdanov normal form,
Consequences of population models for the dynamics of food chains,
Singular homoclinic bifurcations in tritrophic food chains,
Bifurcations in ecosystem models and their biological interpretation,
PEAK-TO-PEAK DYNAMICS: A CRITICAL SURVEY,
Chaos and peak-to-peak dynamics in a Plankton-Fish model,
Diffusion-induced periodic transition between oscillatory modes in amplitude-modulated patterns,
Limit cycles in a food-chain with inhibition responses,
CONTINUATION OF CONNECTING ORBITS IN 3D-ODEs (II) : CYCLE-TO-CYCLE CONNECTIONS,
Criteria for \(C^r\) robust permanence,
Remarks on antipredator behavior and food chain dynamics,
The 3‐D bifurcation and limit cycles in a food‐chain model,
Mixed-mode oscillations and chaos in a prey-predator system with dormancy of predators,
Population viability in three trophic-level food chains,
Food chain dynamics in the chemostat,
Stochastic numerical investigations for nonlinear three-species food chain system,
Numerical bifurcation analysis of a tri-trophic food web with omnivory,
Dynamics of predator-prey models with a strong Allee effect on the prey and predator-dependent trophic functions,
Biological control via ``ecological damping: an approach that attenuates non-target effects, A ratio-dependent food chain model and its applications to biological control., Optimal harvesting of a two species competition model with imprecise biological parameters, A ratio-dependent predator-prey model with Allee effect and disease in prey, Should all the species of a food chain be counted to investigate the global dynamics?