Four positive periodic solutions of a discrete time delayed predator-prey system with nonmonotonic functional response and harvesting

DOI10.1016/j.camwa.2008.09.009zbMath1165.34400OpenAlexW2042708863WikidataQ115580944 ScholiaQ115580944MaRDI QIDQ2389416

Daowei Hu, Zhengqiu Zhang

Publication date: 16 July 2009

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2008.09.009

zbMATH Keywords

harvestingpredator-prey systemnonmonotonic functional responsefour positive periodic solutionscontinuation theorem of coincidence degree theory

Mathematics Subject Classification ID

Population dynamics (general) (92D25) Periodic solutions to functional-differential equations (34K13)

Related Items (14)

Stability and Neimark–Sacker bifurcation of a ratio‐dependence predator–prey model ⋮ GLOBAL ASYMPTOTIC STABILITY FOR A TWO-SPECIES DISCRETE RATIO-DEPENDENT PREDATOR–PREY SYSTEM ⋮ Transcritical bifurcation and flip bifurcation of a new discrete ratio-dependent predator-prey system ⋮ Multiple periodic solutions of a ratio-dependent predator-prey discrete model ⋮ Existence and uniform asymptotic stability of positive almost periodic solutions for three-species Lotka–Volterra competitive system on time scales ⋮ Stability analysis of three-species almost periodic competition models with grazing rates and diffusions ⋮ Multiple periodic solutions of a delayed predator-prey system on time scales with multiple exploited (or harvesting) terms ⋮ Permanence of a predator–prey discrete system with Holling-IV functional response and distributed delays ⋮ Almost periodic solutions of a single-species system with feedback control on time scales ⋮ Analysis of stability for a discrete ratio-dependent predator-prey system ⋮ Dynamic behaviors of a discrete two species predator-prey system incorporating harvesting ⋮ Permanence and almost periodic solution of a predator–prey discrete system with Holling IV functional response ⋮ MULTIPLE POSITIVE PERIODIC SOLUTIONS TO m-LAYER PERIODIC LOTKA–VOLTERRA NETWORK-LIKE MULTIDIRECTIONAL FOOD-CHAIN WITH HARVESTING TERMS ⋮ Double periodic solutions for a ratio-dependent predator-prey system with harvesting terms on time scales

Cites Work

• Multiple periodic solutions of a delayed stage-structured predator-prey model with non-monotone functional responses
• Periodic solutions of a discrete time stage-structure model
• Ordinary differential equations with nonlinear boundary conditions
• Periodic solutions of delayed ratio-dependent predator--prey models with monotonic or nonmonotonic functional responses
• Periodic solutions of a discrete time nonautonomous ratio-dependent predator-prey system
• Periodic solutions of a single species discrete population model with periodic harvest/stock
• Discrete-time analogues of predator-prey models with monotonic or nonmonotonic functional responses
• Multiple periodic solutions of delayed predator--prey systems with type IV functional responses
• Global attractivity of a periodic ecological model with \(m\)-predators and \(n\)-preys by ``Pure-delay type system
• Almost periodicity in an ecological model with \(M\)-predators and \(N\)-preys by ``pure-delay type system
• Periodic solutions of a periodic delay predator-prey system
• The existence of a periodic solution for a generalized prey-predator system with delay
• Multiple periodic solutions of a generalized predator-prey system with delays

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