Stability for a diffusive delayed predator-prey model with modified Leslie-Gower and Holling-type II schemes.

DOI10.1007/S10492-014-0051-9zbMath1324.35069OpenAlexW2093108610WikidataQ115605318 ScholiaQ115605318MaRDI QIDQ464702

Yanling Tian

Publication date: 29 October 2014

Published in: Applications of Mathematics (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/10338.dmlcz/143631

zbMATH Keywords

stabilityeigenvaluepersistencedelayed diffusive predator-prey modelHolling-type II schememodified Leslie-Gower schememonotonous iterative sequence

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Stability in context of PDEs (35B35) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Biochemistry, molecular biology (92C40)

Related Items (4)

The joint effects of diffusion and delay on the stability of a ratio-dependent predator-prey model ⋮ Dynamics and responses of a predator-prey system with competitive interference and time delay ⋮ Stability of a diffusive predator-prey model with modified Leslie-Gower and Holling-type II schemes and time-delay in two dimensions ⋮ Global stability for a nonautonomous reaction-diffusion predator-prey model with modified Leslie-Gower Holling-II schemes and a prey refuge

Cites Work

• Stability analysis of diffusive predator-prey model with modified Leslie-Gower and Holling-type II schemes
• Qualitative analysis of a predator-prey model with Holling type II functional response incorporating a prey refuge
• Asymptotic behavior of solutions for a class of predator-prey reaction-diffusion systems with time delays
• Analysis of a predator-prey model with modified Leslie-Gower and Holling-type II schemes with time delay
• Qualitative analysis for a diffusive predator-prey model
• Boundedness and global stability for a predator-prey model with modified Leslie-Gower and Holling-type II schemes
• Mathematical biology. Vol. 1: An introduction.
• Mathematical biology. Vol. 2: Spatial models and biomedical applications.
• Theory and applications of partial functional differential equations
• Dynamics of nonlinear parabolic systems with time delays
• Global stability of a model for competing predators: An extension of the Ardito \& Ricciardi Lyapunov function
• Prey-predator system with parental care for predators
• Effect of seasonality on the dynamics of 2 and 3 species prey\,-\,predator systems
• Positive solutions for ratio-dependent predator-prey interaction systems

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