Global dynamics of the periodic logistic system with periodic impulsive perturbations.

DOI10.1016/j.jmaa.2003.09.058zbMath1054.34015OpenAlexW2040651653MaRDI QIDQ1419780

Publication date: 26 January 2004

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2003.09.058

zbMATH Keywords

Extinction Global asymptotic stability Impulsive perturbation Logistic system

Mathematics Subject Classification ID

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

Periodicity in a generalized semi-ratio-dependent predator-prey system with time delays and impulses, On a nonautonomous competitive system subject to stochastic and impulsive perturbations, An impulsive periodic single-species logistic system with diffusion, Permanence and global attractivity of an impulsive delay logistic model, Intermittent dispersal population model with almost period parameters and dispersal delays, An almost periodic competitive system subject to impulsive perturbations, Renewable resource management in a seasonally fluctuating environment with restricted harvesting effort, Global existence results for impulsive functional differential equations, Optimal impulsive harvesting on non-autonomous Beverton-Holt difference equations, Permanence of a general periodic single-species system with periodic impulsive perturbations, Periodicity and global dynamics of an impulsive delay Lasota-Wazewska model, An impulsive periodic predator-prey system with Holling type III functional response and diffusion, An impulsive ratio-dependent predator-prey system with diffusion, Asymptotic behavior of a stochastic two-species competition system with impulsive effects, DYNAMIC BEHAVIOR OF A STOCHASTIC NON-AUTONOMOUS PREDATOR–PREY MODEL WITH CROWLEY–MARTIN FUNCTIONAL RESPONSE AND IMPULSES, Bio-economics of a renewable resource in a seasonally varying environment, Complex dynamics and bifurcation analysis of host-parasitoid models with impulsive control strategy, An integrated pest management model with delayed responses to pesticide applications and its threshold dynamics, On the permanence of periodic predator-prey systems with stage structure and pulse action, Dynamics analysis and numerical simulations of a stochastic non-autonomous predator-prey system with impulsive effects, Stochastic periodic solution and persistence of a nonautonomous impulsive system with nonlinear self-interaction, Threshold conditions for integrated pest management models with pesticides that have residual effects, Positive almost periodic solution on a nonlinear differential equation, Permanence and global stability for nonautonomous \(N\)-species Lotka-Volterra competitive system with impulses and infinite delays, The regulatory system for diabetes mellitus: modeling rates of glucose infusions and insulin injections, Permanence and periodic solutions for an impulsive reaction-diffusion food-chain system with Holling type III functional response, Spatiotemporal dynamics for impulsive eco-epidemiological model with Crowley-Martin type functional response, On the dynamics of an impulsive reaction-diffusion predator-prey system with ratio-dependent functional response, Periodicity and stability in a single-species model governed by impulsive differential equation, Persistence of nonautonomous logistic system with time-varying delays and impulsive perturbations, MODELING OF THE PREVENTION AND CONTROL OF FOREST PEST, On a stochastic logistic equation with impulsive perturbations, Optimum timing for integrated pest management: modelling rates of pesticide application and natural enemy releases, Dynamics of impulsive reaction-diffusion predator-prey system with Holling type III functional response, Existence of positive periodic solutions for a predator-prey system of Holling type IV function response with mutual interference and impulsive effects, Global positive periodic solutions for periodic two-species competitive systems with multiple delays and impulses, Complex dynamics of Beddington-Deangelis-type predator-prey model with nonlinear impulsive control, \(N\)-species non-autonomous Lotka-Volterra competitive systems with delays and impulsive perturbations, Dynamics and simulations of a logistic model with impulsive perturbations in a random environment, Modelling pulsed immunotherapy of tumour-immune interaction, On the dynamics of one-prey-n-predator impulsive reaction-diffusion predator–prey system with ratio-dependent functional response, On hybrid stochastic population models with impulsive perturbations, A reaction-diffusion equations modelling the effect of fluctuating water levels on prey-predator interactions, An impulsive predator-prey system with modified Leslie-Gower functional response and diffusion, Permanence in a periodic delay logistic system subject to constant impulsive stocking, The periodic solutions to a stochastic two-prey one-predator population model with impulsive perturbations in a polluted environment, Spatiotemporal dynamics for an impulsive eco-epidemiological system driven by canine distemper virus, Existence of periodic solutions of a continuous flow bioreactor model with impulsive control in microorganisms, Analysis of a stochastic Lotka-Volterra competitive model with infinite delay and impulsive perturbations, Weak average persistence and extinction of a predator-prey system in a polluted environment with impulsive toxicant input, Periodic Duffing delay equations with state dependent impulses, Permanence and periodic solutions of a delayed predator-prey system with impulse, Permanence, extinction and global attractivity of the periodic Gilpin-Ayala competition system with impulses, Permanence and global stability for nonautonomous \(N\)-species Lotka-Volterra competitive system with impulses, An impulsive ratio-dependent \(n+1\)-species predator-prey model with diffusion, Periodic Liénard-type delay equations with state-dependent impulses, Permanence and global attractivity of an impulsive ratio-dependent predator-prey system in a patchy environment, The persistence in a Lotka--Volterra competition systems with impulses, Global analysis of an impulsive delayed Lotka-Volterra competition system, Dynamic of a nonautonomous two-species impulsive competitive system with infinite delays, Dynamic analysis of a reaction-diffusion impulsive hybrid system, An impulsive diffusion predator-prey system in three-species with Beddington-DeAngelis response, An impulsive periodic predator-prey Lotka-Volterra type dispersal system with mixed functional responses, Dynamics of \(n+1\)-dimensional impulsive reaction-diffusion predator-prey system with Holling type III functional response, Modeling and analysis of a non-autonomous single-species model with impulsive and random perturbations, Modeling and analysis of a delayed competitive system with impulsive perturbations, IMPULSIVE SELECTIVE HARVESTING IN A LOGISTIC FISHERY MODEL WITH TIME DELAY, Dynamic behaviors of the impulsive periodic multi-species predator-prey system, Analysis of a mutualism model with time-related coefficients in a stochastic environment, Survival analysis of an impulsive stochastic facultative mutualism system with saturation effect, Permanence and partial extinction in an impulsive delay competitive system with the effect of toxic substances, Stability and periodicity in competitive systems with impulses, Impulsive perturbations in a periodic delay differential equation model of plankton allelopathy, Existence of periodic solution of order one of planar impulsive autonomous system

Cites Work