• ANALYTICAL EXPRESSION OF DENSITY OF A POPULATION IN COMMUNITY ECOLOGY FROM LOTKA-VOLTERRA MODEL: HOMOTOPY PERTURBATION APPROACH

Abstract

A mathematical model of Lotka-Volterra equations, in population ecology is analysed. This model explain the population density relate to interspecific competitions and carrying capacity. It is devoted to the description of prey–predator or host–parasitoid system dynamics. This paper presents an approximate analytical solution of the general Lotka-Volterra equations.  Analytical expressions for density of a species, product concentration and corresponding population density have been derived for all values of parameters using Homotopy perturbation method. The analytical results are compared with our numerical results and are found to be in good agreement.