M. H. Rahmani Doust
Department of Mathematics, University of Neyshabur, Neyshabur, Iran.
[ 1 ] - Permanency and Asymptotic Behavior of The Generalized Lotka-Volterra Food Chain System
In the present paper a generalized Lotka-Volterra food chain system has been studied and also its dynamic behavior such as locally asymptotic stability has been analyzed in case of existing interspecies competition. Furthermore, it has been shown that the said system is permanent (in the sense of boundedness and uniformly persistent). Finally, it is proved that the nontrivial equilibrium point...
[ 2 ] - The Efficiency of Harvested Factor; Lotka-Volterra Predator-Prey Model
Scientists are interested in find out “how to use living resources without damaging the ecosystem at the same time?” from nineteen century because the living resources are limited. Thus, the harvested rate is used as the control parameters. Moreover, the study of harvested population dynamics is more realistic. In the present paper, some predator-prey models in which two ecologically inte...
[ 3 ] - An Analysis on The Lotka-Volterra Food Chain Model: Stability
The food chain refers to a natural system by which energy is transmitted from one organism to another. In fact, a food chain consists of producers, consumers and decomposition. Presence of complex food web increase the stability of the ecosystem. Classical food chain theory arises from Lotka-Volterra model. In the present paper, the dynamics behavior of three level food chain is studied. A syst...
[ 4 ] - The Stability of Some Systems of Harvested Lotka-Volterra Predator-Prey Equations
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 ...
[ 5 ] - The Lotka-Volterra Predator-Prey Equations
One may find out the application of mathematics in the areas of ecology, biology, environmental sciences etc. Mathematics is particulary used in the problem of predator-prey known as lotka-Volterra predator-prey equations. Indeed, differential equations is employed very much in many areas of other sciences. However, most of natural problems involve some unknown functions...
[ 6 ] - Prey-Predator System; Having Stable Periodic Orbit
The study of differential equations is useful in to analyze the possible past or future with help of present information. In this paper, the behavior of solutions has been analyzed around the equilibrium points for Gause model. Finally, some results are worked out to exist the stable periodic orbit for mentioned predator-prey system.
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