Dynamics of the generalized Rosenzweig-MacArthur model in a changing and patchy environment

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Bifurcation theory for ordinary differential equations (34C23) Population dynamics (general) (92D25) Stability of solutions to ordinary differential equations (34D20) Qualitative investigation and simulation of ordinary differential equation models (34C60) Asymptotic properties of solutions to ordinary differential equations (34D05)

Cites Work

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Bifurcation analysis in a predator-prey model with constant-yield predator harvesting
A two-patch prey-predator model with predator dispersal driven by the predation strength
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Decomposition of algebraic sets and applications to weak centers of cubic systems
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On global stability of a predator-prey system
Effects of spatial grouping on the functional response of predators
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Adaptation of prey and predators between patches
A system with three limit cycles appearing in a Hopf bifurcation and dying in a homoclinic bifurcation: The cusp of order 4
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Degenerate Bogdanov-Takens bifurcation of codimension 4 in Holling-Tanner model with harvesting
Total biomass of a single population in two-patch environments
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Bifurcation analysis in a host-generalist parasitoid model with Holling II functional response
Impacts of foraging facilitation among predators on predator-prey dynamics
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Qualitative theory of planar differential systems
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ALLEE EFFECTS: POPULATION GROWTH, CRITICAL DENSITY, AND THE CHANCE OF EXTINCTION
Three Limit Cycles in a Leslie–Gower Predator-Prey Model with Additive Allee Effect
Predator survival versus extinction as a function of dispersal in a predator–prey model with patchy environment
Mathematical Models of Population Interactions with Dispersal. I: Stability of Two Habitats with and without a Predator
Allee Effect in Prey versus Hunting Cooperation on Predator — Enhancement of Stable Coexistence
Linking bifurcation analysis of Holling–Tanner model with generalist predator to a changing environment
High codimension bifurcations of a predator-prey system with generalized Holling type III functional response and Allee effects
Bifurcations driven by generalist and specialist predation: mathematical interpretation of Fennoscandia phenomenon
An Organizing Center of Codimension Four in a Predator-Prey Model with Generalist Predator: From Tristability and Quadristability to Transients in a Nonlinear Environmental Change

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