Existence of periodic solutions in predator-prey with Watt-type functional response and impulsive effects

DOI10.1016/j.na.2010.05.003zbMath1203.34073OpenAlexW1994224928WikidataQ115568812 ScholiaQ115568812MaRDI QIDQ988816

Yao-Lin Jiang, Xiaoqin Wang, Xiao-Lin Lin

Publication date: 19 August 2010

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2010.05.003

zbMATH Keywords

periodic solutioncoincidence degreepredator-prey modelimpulsive perturbationdynamic systemnumerical analysisWatt-type functional response

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Ordinary differential equations with impulses (34A37) Applications of operator theory to differential and integral equations (47N20) Qualitative investigation and simulation of ordinary differential equation models (34C60)

Related Items (3)

Extinction and permanence of the predator-prey system with general functional response and impulsive control ⋮ The periodic solutions for general periodic impulsive population systems of functional differential equations and its applications ⋮ Numerical simulation of a class of three-dimensional Kolmogorov model with chaotic dynamic behavior by using barycentric interpolation collocation method

Cites Work

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• Dynamics of a two-prey one-predator system with Watt-type functional response and impulsive control strategy
• Dynamics of a periodic Watt-type predator-prey system with impulsive effect
• Variational approach to impulsive differential equations
• Existence of periodic solutions in predator-prey and competition dynamic systems
• The dynamics of a Beddington-type system with impulsive control strategy
• Permanence of population growth models with impulsive effects
• The dynamics of an epidemic model for pest control with impulsive effect
• A delayed epidemic model with stage-structure and pulses for pest management strategy
• Dynamic behaviors of the impulsive periodic multi-species predator-prey system
• An impulsive two-prey one-predator system with seasonal effects
• Ordinary differential equations with nonlinear boundary conditions
• Periodic solutions and bifurcations in an impact-inverted pendulum under impulsive excitation
• The persistence in a Lotka--Volterra competition systems with impulses
• Dynamics of a nonautonomous predator--prey system with the Beddington-DeAngelis functional response
• Existence and uniqueness of periodic solutions of nonautonomous cellular neural networks with impulses
• Dynamic analysis of Michaelis-Menten chemostat-type competition models with time delay and pulse in a polluted environment
• Effect of seasonality on the dynamics of 2 and 3 species prey\,-\,predator systems
• Chaotic behavior of a Watt-type predator-prey system with impulsive control strategy
• The dynamics of an impulsive delay predator-prey model with variable coefficients
• Periodic solutions for a two-species nonautonomous competition system with diffusion and impulses
• Dynamic behaviors of the periodic predator-prey model with modified Leslie-Gower Holling-type II schemes and impulsive effect
• Permanence and periodic solution of predator-prey system with holling type functional response and impulses
• Periodic solutions for discrete predator-prey systems with the Beddington-DeAngelis functional response
• Dynamic behaviors of the periodic Lotka-Volterra competing system with impulsive perturbations
• A Holling II functional response food chain model with impulsive perturbations
• Dispersal permanence of a periodic predator-prey system with Beddington-DeAngelis functional response

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