Extinction and permanence of the numerical solution of a two-prey one-predator system with impulsive effect

DOI10.1080/00207160.2010.504829zbMath1218.65071OpenAlexW2160105762WikidataQ115552465 ScholiaQ115552465MaRDI QIDQ2995517

Minghui Song, Hui Liang, Ming-Zhu Liu

Publication date: 21 April 2011

Published in: International Journal of Computer Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207160.2010.504829

zbMATH Keywords

periodic solutionsasymptotic stabilityextinctionpermanenceimpulsive effecttwo-prey one-predator systembiological control programsfirst-order discretization method

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Ordinary differential equations with impulses (34A37) Population dynamics (general) (92D25) Stability and convergence of numerical methods for ordinary differential equations (65L20) Numerical methods for initial value problems involving ordinary differential equations (65L05) Numerical investigation of stability of solutions to ordinary differential equations (65L07) Asymptotic properties of solutions to ordinary differential equations (34D05) Finite difference and finite volume methods for ordinary differential equations (65L12)

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Convergence and stability of impulsive stochastic differential equations ⋮ Asymptotical stability of Runge-Kutta methods for nonlinear impulsive differential equations ⋮ Stability analysis of a food chain model consisting of two competitive preys and one predator ⋮ Periodic solutions of an SIS epidemic model with fixed-time birth pulses and state feedback pulse treatments ⋮ Oscillation analysis of numerical solutions for nonlinear delay differential equations of hematopoiesis with unimodal production rate ⋮ Mean-square stability of analytic solution and Euler-Maruyama method for impulsive stochastic differential equations ⋮ Asymptotical stability of numerical methods for semi-linear impulsive differential equations ⋮ Periodicity and permanence of a discrete impulsive Lotka-Volterra predator-prey model concerning integrated pest management ⋮ Convergence, consistency and zero stability of impulsive one-step numerical methods

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