A qualitative study on general Gause-type predator-prey models with non-monotonic functional response
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Publication:1026745
DOI10.1016/j.nonrwa.2008.05.012zbMath1163.35339OpenAlexW1963680827MaRDI QIDQ1026745
Publication date: 29 June 2009
Published in: Nonlinear Analysis. Real World Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.nonrwa.2008.05.012
functional responseHopf bifurcationindex theorylocally/globally asymptotically stablenon-constant positive solution
Related Items (16)
Existence and non-existence of steady states to a cross-diffusion system arising in a Leslie predator-prey model ⋮ Global boundedness of solutions in a reaction-diffusion system of predator-prey model with prey-taxis ⋮ Existence of the non-constant steady states to a fractional diffusion predator-prey system including Holling type-II functional response ⋮ Stability and traveling fronts for a food chain reaction-diffusion systems with nonlocal delays ⋮ Unnamed Item ⋮ Existence of positive solution for a cross-diffusion predator-prey system with Holling type-II functional response ⋮ Stationary pattern and Hopf bifurcation of a diffusive predator–prey model ⋮ Positive solutions for a general Gause-type predator-prey model with monotonic functional response ⋮ Global stability and Hopf bifurcation for Gause-type predator-prey system ⋮ Steady states of a predator-prey model with prey-taxis ⋮ Predator-prey systems with a general non-monotonic functional response ⋮ Existence of positive periodic solutions for neutral delay Gause-type predator-prey system ⋮ Stability and bifurcation of a ratio-dependent prey-predator system with cross-diffusion ⋮ An impulsive diffusion predator-prey system in three-species with Beddington-DeAngelis response ⋮ Some uniqueness and multiplicity results for a predator-prey dynamics with a nonlinear growth rate ⋮ Global existence and boundedness of solutions in a Lotka-Volterra reaction-diffusion system of predator-prey model with nonlinear prey-taxis
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