The Stability of Some Systems of Harvested Lotka-Volterra Predator-Prey Equations

Abstract

Some scientists are interesting to study in area of harvested ecological <br />modelling. The harvested population dynamics is more realistic than <br />other ecological models. In the present paper, some of the Lotka-Volterra <br />predator-prey models have been considered. In the said models, existing <br />species are harvested by constant or variable growth rates. The behavior <br />of their solutions has been analyzed in the stability sense. The employed <br />methods are linearization and Lyapunove function. <br /> <br />