Persistence of preys in a diffusive three species predator-prey system with a pair of strong-weak competing preys

DOI10.1016/j.jde.2021.02.013zbMath1465.35274arXiv2008.11939OpenAlexW3128758946MaRDI QIDQ2656267

Thomas Giletti, Jong-Shenq Guo, Yu-Shuo Chen

Publication date: 11 March 2021

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2008.11939

zbMATH Keywords

predator-prey systeminvaded stateinvading statepair of strong-weak competing preyssingle predator

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Reaction-diffusion equations (35K57) Population dynamics (general) (92D25) Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05) Initial value problems for second-order parabolic systems (35K45) Boundary value problems on infinite intervals for ordinary differential equations (34B40) Traveling wave solutions (35C07) Semilinear parabolic equations (35K58)

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Traveling waves for a nonlocal dispersal predator-prey model with two preys and one predator ⋮ Traveling wave solutions in predator–prey models with competition ⋮ Forced waves of a three species predator-prey system in a shifting environment ⋮ Convergence to traveling waves in reaction-diffusion systems with equal diffusivities ⋮ On the invading speeds for a diffusive three-species competition system ⋮ Forced waves for diffusive competition systems in shifting environments ⋮ Forced waves of saturation type for Fisher-KPP equation in a shifting environment ⋮ Complex dynamics of a predator–prey model with opportunistic predator and weak Allee effect in prey ⋮ Forced waves of a three species predator-prey system with a pair of weak-strong competing preys in a shifting environment ⋮ Global generalized solutions to a three species predator-prey model with prey-taxis ⋮ Traveling Wave Solutions for Some Three-Species Predator-Prey Systems ⋮ Forced waves for a three-species predator-prey system with nonlocal dispersal in a shifting environment

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