Spatially nonhomogeneous periodic solutions in a delayed predator-prey model with diffusion effects

DOI10.1155/2012/856725zbMath1246.34041OpenAlexW2149102214WikidataQ58696960 ScholiaQ58696960MaRDI QIDQ448837

Jia-Fang Zhang

Publication date: 7 September 2012

Published in: Abstract and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2012/856725

zbMATH Keywords

delayed predator-prey modelnonhomogeneous periodic solutions

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Population dynamics (general) (92D25)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Delay differential equations: with applications in population dynamics
• Positive steady states of a diffusive predator-prey system with modified Holling-Tanner functional response
• Dynamics of a delayed epidemic model with non-monotonic incidence rate
• Analysis of a predator-prey model with modified Holling-Tanner functional response and time delay
• Note on permanence and global stability in delayed ratio-dependent predator-prey models with monotonic functional responses
• Stability and Hopf bifurcation for a delayed prey-predator system with diffusion effects
• Remarks concerning the asymptotic stability and stabilization of linear delay differential equations
• Theory of functional differential equations. 2nd ed
• Stable periodic solution of the discrete periodic Leslie-Gower predator-prey model
• Theory and applications of partial functional differential equations
• Bifurcation and stability analysis in predator-prey model with a stage-structure for predator
• Permanence and global attractivity of delay diffusive prey-predator systems with the Michaelis-Menten functional response
• Hopf bifurcation analysis for a delayed predator-prey system with diffusion effects
• The properties of a stochastic model for the predator-prey type of interaction between two species
• On Nonlinear Dynamics of Predator-Prey Models with Discrete Delay
• Sufficiency-type stability and stabilization criteria for linear time-invariant systems with constant point delays
• Periodic solutions in a delayed predator-prey model with nonmonotonic functional response
• Stability and bifurcation for a delayed predator-prey model and the effect of diffusion
• On the dynamics of predator-prey models with the Beddington-DeAngelis functional response