DYNAMICS OF A DIFFUSIVE PREDATOR–PREY MODEL WITH ADDITIVE ALLEE EFFECT

DOI10.1142/S1793524511001659zbMath1297.92060OpenAlexW2104592260WikidataQ115522937 ScholiaQ115522937MaRDI QIDQ2921254

Yongli Cai, Weiming Wang, Jin-Feng Wang

Publication date: 8 October 2014

Published in: International Journal of Biomathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s1793524511001659

zbMATH Keywords

global stabilityHopf bifurcationpredator-prey modelAllee effect

Mathematics Subject Classification ID

Bifurcation theory for ordinary differential equations (34C23) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Population dynamics (general) (92D25)

Related Items (11)

DYNAMIC INTERACTIONS BETWEEN PREY AND PREDATOR WITH COOPERATION AND ALLEE EFFECT: DETERMINISTIC AND STOCHASTIC APPROACH ⋮ Allee-effect-induced instability in a reaction-diffusion predator-prey model ⋮ Stationary and non-stationary pattern formation over fragmented habitat ⋮ Complex dynamics of a diffusive Holling-Tanner predator-prey model with the Allee effect ⋮ Pattern formation in a diffusive ratio-dependent Holling-Tanner predator-prey model with Smith growth ⋮ Dynamical complexity induced by Allee effect in a predator-prey model ⋮ Spatiotemporal complexity in a predator-prey model with weak Allee effects ⋮ Spatiotemporal pattern in a self- and cross-diffusive predation model with the Allee effect ⋮ Effect of kernels on spatio-temporal patterns of a non-local prey-predator model ⋮ Stability of Hopf-bifurcating limit cycles in a diffusion-driven prey-predator system with Allee effect and time delay ⋮ Qualitative analysis for a reaction-diffusion predator-prey model with disease in the prey species

Cites Work

• Spatial Ecology via Reaction‐Diffusion Equations

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