On the stability analysis of a reaction-diffusion predator-prey model incorporating prey refuge

DOI10.1007/S40819-022-01415-0OpenAlexW4289108991WikidataQ114218557 ScholiaQ114218557MaRDI QIDQ2170952

Oussama Lazaar, Nadia Raissi, Mustapha Serhani, Abdellah Alla

Publication date: 8 September 2022

Published in: International Journal of Applied and Computational Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40819-022-01415-0

zbMATH Keywords

Lyapunov functionglobal existencereaction-diffusion equationsLotka-Volterra modelglobal stability analysis

Mathematics Subject Classification ID

Stability in context of PDEs (35B35) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Stability theory for smooth dynamical systems (37C75) General biology and biomathematics (92B05)

Cites Work

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• Semigroups of linear operators and applications to partial differential equations
• Geometric theory of semilinear parabolic equations
• Stability analysis of a prey-predator model incorporating a prey refuge
• On a prey-predator reaction-diffusion system with Holling type III functional response
• Compactness of bounded trajectories of dynamical systems in infinite dimensional spaces
• Global Dynamics of a Mathematical Model of Competition in the Chemostat: General Response Functions and Differential Death Rates

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