1
Department of Mathematics, University of Neyshabur, Neyshabur, Iran.
2
Department of Mathematics, Qom University, Qom, Iran
Abstract
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.
Rahmani Doust, M. H., & Haghighifar, F. (2014). The Stability of Some Systems of Harvested Lotka-Volterra Predator-Prey Equations. Caspian Journal of Mathematical Sciences, 3(1), 131-139.
MLA
M. H. Rahmani Doust; F. Haghighifar. "The Stability of Some Systems of Harvested Lotka-Volterra Predator-Prey Equations". Caspian Journal of Mathematical Sciences, 3, 1, 2014, 131-139.
HARVARD
Rahmani Doust, M. H., Haghighifar, F. (2014). 'The Stability of Some Systems of Harvested Lotka-Volterra Predator-Prey Equations', Caspian Journal of Mathematical Sciences, 3(1), pp. 131-139.
VANCOUVER
Rahmani Doust, M. H., Haghighifar, F. The Stability of Some Systems of Harvested Lotka-Volterra Predator-Prey Equations. Caspian Journal of Mathematical Sciences, 2014; 3(1): 131-139.