Positive solutions of a diffusive Leslie-Gower predator-prey model with Bazykin functional response

DOI10.1007/s00033-013-0315-3zbMath1293.35349OpenAlexW1991234354WikidataQ115609399 ScholiaQ115609399MaRDI QIDQ2449552

Jun Zhou

Publication date: 8 May 2014

Published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00033-013-0315-3

zbMATH Keywords

stabilitymultiplicityuniquenessbifurcationpositive steady state solutionsLeslie-Gower predator-prey modelBazykin functional response

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Population dynamics (general) (92D25) Developmental biology, pattern formation (92C15) Positive solutions to PDEs (35B09)

Related Items (11)

A free boundary problem of some modified Leslie-gower predator-prey model with nonlocal diffusion term ⋮ Qualitative analysis of a predator-prey model with predator saturation and competition ⋮ Bifurcations in the diffusive Bazykin model ⋮ Asymptotic behavior and multiplicity for a diffusive Leslie-Gower predator-prey system with Crowley-Martin functional response ⋮ Stationary patterns of a diffusive predator-prey model with Crowley-Martin functional response ⋮ Dynamics and pattern formation in a modified Leslie–Gower model with Allee effect and Bazykin functional response ⋮ Uniqueness and stability of a predator-prey model with C-M functional response ⋮ Bifurcation Analysis of a Diffusive Predator–Prey Model with Bazykin Functional Response ⋮ Positive solutions of a diffusive two competitive species model with saturation ⋮ Qualitative analysis of a modified Leslie-Gower predator-prey model with Crowley-Martin functional responses ⋮ Biological invasion in a predator-prey model with a free boundary

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