A model predator-prey system with functional response
From MaRDI portal
Publication:1247811
DOI10.1016/0025-5564(78)90031-7zbMath0382.92007OpenAlexW1998822018WikidataQ115599924 ScholiaQ115599924MaRDI QIDQ1247811
Pauline van den Driessche, Nicholas D. Kazarinoff
Publication date: 1978
Published in: Mathematical Biosciences (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/0025-5564(78)90031-7
Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Population dynamics (general) (92D25) Asymptotic properties of solutions to ordinary differential equations (34D05)
Related Items
Dynamics of a class of nonautonomous semi-ratio-dependent predator--prey systems with functional responses, The qualitative analysis of two species predator-prey model with Holling's type III functional response, General functional response and recruitment in a predator–prey system with capture on both species, Spatiotemporal Patterns of a Predator–Prey System with an Allee Effect and Holling Type III Functional Response, Existence of periodic solutions of a delayed predator-prey system with general functional response, Persistence and global stability in a delayed predator-prey system with Holling-type functional response, Existence of periodic solutions in \(n\)-species food-chain system with impulsive, Uniformly strong persistence of a nonlinear asymptotically periodic multispecies competition predator--prey system with general functional response, A predator-prey model with cooperative hunting in the predator and group defense in the prey, Conditions for uniqueness of limit cycles in general predator-prey systems, Effects of vascularization on lymphocyte/tumor cell dynamics: Qualitative features, Impulsive control on seasonally perturbed general Holling type two-prey one-predator model, Dynamics of cooperative predator-prey system with impulsive effects and Beddington-DeAngelis functional response, Dynamics and pattern formation in a modified Leslie–Gower model with Allee effect and Bazykin functional response, Singular perturbations of the Holling I predator-prey system with a focus, Ecosystem resilience and stability analysis against alien species invasion patterns, Untangling role of cooperative hunting among predators and herd behavior in prey with a dynamical systems approach, Theoretical and numerical analysis of a prey-predator model (3-species) in the frame of generalized Mittag-Leffler law, Spatiotemporal patterns of a homogeneous diffusive predator-prey system with Holling type III functional response, Bifurcation analysis of a diffusive predator–prey model with hyperbolic mortality and prey-taxis, Multiple limit cycles in predator-prey models, Global existence and boundedness in a reaction-diffusion-taxis system with three species, Predator-prey models with non-analytical functional response, Effects of convective and dispersive migration on the linear stability of a two species system with mutualistic interactions and functional response, Qualitative properties of two-dimensional predator-prey systems, Effects of dispersal on the stability of a prey-predator system with functional response, Predator-prey system with strong Allee effect in prey, Analysis of a stochastic Holling type II predator-prey model under regime switching, Patterned solutions of a homogenous diffusive predator-prey system of Holling type-III, Periodic solutions for a predator-prey model with Holling-type functional response and time delays, Asymptotic behaviors of a two prey one predator model with cooperation among the prey species in a stochastic environment, Dynamics and pattern formation in a diffusive predator-prey system with strong Allee effect in prey, Multiple bifurcations in a predator--prey system with monotonic functional response, Bifurcation analysis of a diffusive predator-prey system with nonmonotonic functional response, Absence of limit cycles of a predator-prey system with a sigmoid functional response, Chaotic dynamics of a discrete prey-predator model with Holling type II, Stability and Hopf-bifurcation in a general Gauss type two-prey and one-predator system, Multiple limit cycles and global stability in predator-prey model, Global stability and Hopf bifurcation of a diffusive predator–prey model with hyperbolic mortality and prey harvesting, Persistence of a discrete-time predator-prey model with stage-structure in the predator, Bifurcation Analysis of Phytoplankton and Zooplankton Interaction System with Two Delays, Stability and bifurcation analysis of the Bazykin's predator-prey ecosystem with Holling type II functional response, Bifurcation analysis in a diffusive Segel-Jackson model, Homoclinic orbits in predator-prey systems with a nonsmooth prey growth rate, Uniform global asymptotic stability for nonautonomous nonlinear dynamical systems, Stability and Hopf bifurcation analysis of a predator-prey model with time delayed incomplete trophic transfer, Bifurcation and control for a discrete-time prey–predator model with Holling-IV functional response, Persistence in seasonally varying predator-prey systems via the basic reproduction number, Bifurcation and chaos in discrete\,-\,time predator\,-\,prey system, Bifurcation of Reaction Cross-Diffusion Systems
Cites Work
