An impulsive ratio-dependent \(n+1\)-species predator-prey model with diffusion

DOI10.1016/j.nonrwa.2009.11.013zbMath1189.35362OpenAlexW2036263585MaRDI QIDQ974639

Yue Wang, Qi Wang, Minmin Ding, Zhijie Wang, Hong-yan Zhang

Publication date: 3 June 2010

Published in: Nonlinear Analysis. Real World Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.nonrwa.2009.11.013

zbMATH Keywords

periodic solutionpermanenceratio-dependent functional responseglobally stable solutionimpulsive predator-prey model with diffusion

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) Positive solutions to PDEs (35B09) Impulsive partial differential equations (35R12)

Related Items (9)

Optimal control problem for a general reaction-diffusion eco-epidemiological model with disease in prey ⋮ Permanence and periodic solutions for an impulsive reaction-diffusion food-chain system with Holling type III functional response ⋮ On the dynamics of an impulsive reaction-diffusion predator-prey system with ratio-dependent functional response ⋮ Dynamics of impulsive reaction-diffusion predator-prey system with Holling type III functional response ⋮ On the dynamics of one-prey-n-predator impulsive reaction-diffusion predator–prey system with ratio-dependent functional response ⋮ An impulsive predator-prey system with modified Leslie-Gower functional response and diffusion ⋮ Dynamic analysis of a reaction-diffusion impulsive hybrid system ⋮ An impulsive diffusion predator-prey system in three-species with Beddington-DeAngelis response ⋮ Dynamics of \(n+1\)-dimensional impulsive reaction-diffusion predator-prey system with Holling type III functional response

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