Permanence for an impulsively perturbed periodic single-species model considering Monod-Haldane Type functional response as predation term

Abstract

Evolution of species encounter different sudden short term changes in population density in this ever changing environment. Impulsive differential equations are an appropriate tool to model population ecology. A single-species population model under the influence of constant and linear impulsive perturbations at fixed moments of time is analyzed in which Monod-Haldane functional response is taken as predation term. The conditions required for the permanence of species are established by using comparison analysis technique. To substantiate the theoretical findings, numerical simulation is done using MATLAB.