Stability of a diffusive predator-prey model with modified Leslie-Gower and Holling-type II schemes and time-delay in two dimensions

DOI10.1186/S13662-018-1621-ZzbMath1446.92229OpenAlexW2807319420WikidataQ115518852 ScholiaQ115518852MaRDI QIDQ1712239

Kessé Thiban Tia, Aka Fulgence Nindjin, Albin Tetchi, Hypolithe Okou

Publication date: 21 January 2019

Published in: Advances in Difference Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13662-018-1621-z

zbMATH Keywords

stabilitydelayboundednessequilibriumpermanenceLyapunov's functional

Mathematics Subject Classification ID

Dynamical systems in biology (37N25) Population dynamics (general) (92D25)

Related Items (6)

Unnamed Item ⋮ Bifurcation, chaos analysis and control in a discrete-time predator-prey system ⋮ Hopf bifurcation analysis in a predator-prey model with time delay and food subsidies ⋮ Delay differential model of one-predator two-prey system with Monod-Haldane and Holling type II functional responses ⋮ Periodic solution and dynamical analysis for a delayed food chain model with general functional response and discontinuous harvesting ⋮ Analysis and simulation on dynamics of a partial differential system with nonlinear functional responses

Cites Work

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• Periodic solution of a prey-predator model with nonlinear state feedback control
• Adaptive dynamics analysis of a predator-prey model with selective disturbance
• Analysis of a predator-prey model with modified Leslie-Gower and Holling-type II schemes with time delay
• Dynamics of nonlinear parabolic systems with time delays
• GLOBAL DYNAMICS ANALYSIS OF A NONLINEAR IMPULSIVE STOCHASTIC CHEMOSTAT SYSTEM IN A POLLUTED ENVIRONMENT
• Asymptotic stability of diffusive predator-prey model with modified Leslie-Gower and Holling-type II schemes and nonlocal time delays

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