Effect of prey-taxis on predator's invasion in a spatially heterogeneous environment

DOI10.1016/J.AML.2019.06.021zbMath1428.35620OpenAlexW2954599077WikidataQ115597902 ScholiaQ115597902MaRDI QIDQ2275196

Inkyung Ahn, Wonhyung Choi

Publication date: 2 October 2019

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2019.06.021

zbMATH Keywords

local stabilityinvasionprey-taxisspatially heterogeneous environment

Mathematics Subject Classification ID

Stability in context of PDEs (35B35) Spectral theory and eigenvalue problems for partial differential equations (35P99) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Population dynamics (general) (92D25)

Related Items (8)

On the fitness of predators with prey-induced dispersal in a habitat with spatial heterogeneity ⋮ On a rumor propagation model with spatial heterogeneity ⋮ Predation-induced dispersal toward fitness for predator invasion in predator–prey models ⋮ Depleting the signal: Analysis of chemotaxis‐consumption models—A survey ⋮ Predator-prey models with prey-dependent diffusion on predators in spatially heterogeneous habitat ⋮ Local dynamics and coexistence of predator-prey model with directional dispersal of predator ⋮ Steady state bifurcation of a population model with chemotaxis ⋮ Predator invasion in predator-prey model with prey-taxis in spatially heterogeneous environment

Cites Work

• Unnamed Item
• Global boundedness of solutions in a reaction-diffusion system of predator-prey model with prey-taxis
• Local dynamics of a diffusive predator-prey model in spatially heterogeneous environment
• The effects of diffusion and spatial variation in Lotka-Volterra competition-diffusion system I: Heterogeneity vs. homogeneity
• Global stability of prey-taxis systems
• Global existence of classical solutions to a predator-prey model with nonlinear prey-taxis
• The evolution of slow dispersal rates: a reaction diffusion model
• Steady states of a predator-prey model with prey-taxis
• Global existence of solutions and uniform persistence of a diffusive predator-prey model with prey-taxis
• Spatial Ecology via Reaction‐Diffusion Equations

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