A FOOD CHAIN SYSTEM WITH HOLLING IV FUNCTIONAL RESPONSES AND IMPULSIVE EFFECT

DOI10.1142/S1793524508000308zbMath1155.92043MaRDI QIDQ3608701

Shunyi Li, Ying Xue, Zuoliang Xiong

Publication date: 5 March 2009

Published in: International Journal of Biomathematics (Search for Journal in Brave)

zbMATH Keywords

persistence

Mathematics Subject Classification ID

Probabilistic models, generic numerical methods in probability and statistics (65C20) Periodic solutions to ordinary differential equations (34C25) Ordinary differential equations with impulses (34A37) Ecology (92D40) Global stability of solutions to ordinary differential equations (34D23) Asymptotic properties of solutions to ordinary differential equations (34D05)

Related Items (10)

Dynamics of a two-species Lotka-Volterra competition system in a polluted environment with pulse toxicant input ⋮ Dynamic analysis of a stage-structured predator–prey system with disturbed time delay and birth pulse ⋮ Impulsive effect on tri-trophic food chain model with mixed functional responses under seasonal perturbations ⋮ Almost periodic dynamics of a delayed three-level food-chain model ⋮ THE GEOMETRICAL ANALYSIS OF A PREDATOR-PREY MODEL WITH MULTI-STATE DEPENDENT IMPULSES ⋮ DYNAMICS ON A HOLLING II PREDATOR–PREY MODEL WITH STATE-DEPENDENT IMPULSIVE CONTROL ⋮ Multi-state dependent impulsive control for pest management ⋮ Existence and attractiveness of order one periodic solution of a Holling I predator-prey model ⋮ Complex dynamical behaviors in a predator-prey system with generalized group defense and impulsive control strategy ⋮ Bogdanov-Takens bifurcation of a Holling IV prey-predator model with constant-effort harvesting

Cites Work

• Unnamed Item
• Stability properties of pulse vaccination strategy in SEIR epidemic model
• Dynamic complexities of a Holling I predator-prey model concerning periodic biological and chemical control
• A Holling II functional response food chain model with impulsive perturbations
• Existence of periodic solution of order one of planar impulsive autonomous system
• A two-component model of host-parasitoid interactions: Determination of the size of inundative releases of parasitoids in biological pest control

This page was built for publication: A FOOD CHAIN SYSTEM WITH HOLLING IV FUNCTIONAL RESPONSES AND IMPULSIVE EFFECT