Effect of predator cannibalism and prey growth on the dynamic behavior for a predator-stage structured population model with diffusion

DOI10.1016/j.jmaa.2016.12.036zbMath1360.35298OpenAlexW2565594743WikidataQ115570330 ScholiaQ115570330MaRDI QIDQ508997

Yunfeng Jia, Yi Li, Jian-hua Wu

Publication date: 8 February 2017

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2016.12.036

zbMATH Keywords

stabilityHopf bifurcationfixed point indexpredator-prey modelstage structuresteady states

Mathematics Subject Classification ID

Stability in context of PDEs (35B35) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Population dynamics (general) (92D25) A priori estimates in context of PDEs (35B45) Bifurcations in context of PDEs (35B32) Positive solutions to PDEs (35B09)

Related Items (8)

Dynamical analysis on a bacteria-phages model with delay and diffusion ⋮ Predator-prey system: prey's counter-attack on juvenile predators shows opposite side of the same ecological coin ⋮ Qualitative analysis on a reaction-diffusion model arising from population dynamics ⋮ Computational analysis on Hopf bifurcation and stability for a consumer-resource model with nonlinear functional response ⋮ Dynamics of a predator-stage structured model with cannibalism, degenerate diffusion and free boundaries ⋮ Bifurcation and pattern formation of a tumor-immune model with time-delay and diffusion ⋮ Dynamics in a diffusive predator-prey system with stage structure and strong Allee effect ⋮ Analysis on the existence of the steady-states for an ecological-mathematical model with predator-prey-dependent functional response

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