[hal-00781200, v2] CONVERGENCE TO THE EQUILIBRIUM IN A LOTKA-VOLTERRA ODE COMPETITION SYSTEM WITH MUTATIONS
نویسنده
چکیده
In this paper we are investigating the long time behaviour of the solution of a mutation competition model of Lotka-Volterra’s type. Our main motivation comes from the analysis of the Lotka-Volterra’s competition system with mutation which simulates the demo-genetic dynamics of diverse virus in their host : dvi(t) dt = vi [
منابع مشابه
Convergence to the Equilibrium in a Lotka-Volterra Ode Competition System with Mutations
In this paper we are investigating the long time behaviour of the solution of a mutation competition model of Lotka-Volterra’s type. Our main motivation comes from the analysis of the Lotka-Volterra’s competition system with mutation which simulates the demo-genetic dynamics of diverse virus in their host : dvi(t) dt = vi [
متن کاملPermanency 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...
متن کاملAn 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...
متن کاملAutomatic differentiation of ODE integration
3 Example: Differentiating the Lotka-Volterra ODE system 2 3.1 The Lotka-Volterra ODE system . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2 3.2 The derivatives of the Lotka-Volterra ODE system . . . . . . . . . . . . . . . . . . 3 3.3 Integration of the original and augmented Lotka-Volterra ODE system with the Runge-Kutta method . . . . . . . . . . . . . . . . . . . . . . . . . . . ....
متن کاملThe 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...
متن کامل