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

Document Type : Research Articles


1 Department of Mathematics, University of Neyshabur, Neyshabur, Iran.

2 Department of Mathematics, Qom University, Qom, Iran


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