Dynamics of impulsive reaction-diffusion predator-prey system with Holling type III functional response

DOI10.1016/j.apm.2011.05.019zbMath1228.35117OpenAlexW2051283297WikidataQ115587984 ScholiaQ115587984MaRDI QIDQ651760

Chun Yin, Zijian Liu, Shou-ming Zhong, Wu-Fan Chen

Publication date: 18 December 2011

Published in: Applied Mathematical Modelling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.apm.2011.05.019

zbMATH Keywords

stabilitydiffusionpermanencereactionpredatorHolling type III functional responseprey system

Mathematics Subject Classification ID

Stability in context of PDEs (35B35) Ordinary differential equations with impulses (34A37) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Population dynamics (general) (92D25) Initial-boundary value problems for second-order parabolic systems (35K51)

Related Items (9)

Optimal control problem for a general reaction-diffusion eco-epidemiological model with disease in prey ⋮ Numerical simulation for a class of predator-prey system with homogeneous Neumann boundary condition based on a sinc function interpolation method ⋮ Modeling boyciana-fish-human interaction with partial differential algebraic equations ⋮ A prey-dependent consumption two-prey one predator eco-epidemic model concerning biological and chemical controls at different pulses ⋮ On \(h\)-manifolds stability for impulsive delayed SIR epidemic models ⋮ Spatial dynamics of a juvenile-adult model with impulsive harvesting and evolving domain ⋮ Effects of additional food availability and pulse control on the dynamics of a Holling-\(( p +1)\) type pest-natural enemy model ⋮ Global Hopf bifurcation of a diffusive modified Leslie-Gower predator-prey model with delay and Michaelis-Menten type prey harvesting ⋮ Effects of impulsive harvesting and an evolving domain in a diffusive logistic model*

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