An Analysis on The Lotka-Volterra Food Chain Model: Stability
نویسنده
چکیده مقاله:
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 system of 3 nonlinear ODEs for interaction modeling of three-species food chain where intraspcies competition exists indeed is studied. The first population is the prey for the second which is prey for the third one. It is clear that it is the top of food pyramid. The techniques of linearization and first integral are employed.
منابع مشابه
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...
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 کاملStochastic Lotka-Volterra food chains.
We study the persistence and extinction of species in a simple food chain that is modelled by a Lotka-Volterra system with environmental stochasticity. There exist sharp results for deterministic Lotka-Volterra systems in the literature but few for their stochastic counterparts. The food chain we analyze consists of one prey and [Formula: see text] predators. The jth predator eats the [Formula:...
متن کاملA NSFD scheme for Lotka–Volterra food web model
A nonstandard finite difference (NSFD) scheme has been constructed and analyzed for a mathematical model that describes Lotka–Volterra food web model. This new discrete system has the same stability properties as the continuous model and,on the whole, it preservesthe same local asymptotic stability properties. Linearized stability theory and Schur–Cohn criteria are used for local asymp...
متن کاملPeriodic solution for athree-species Lotka-Volterra food-chain model with time delays
K e y w o r d s F o o d c h a i n model, Time delay, Periodic solution, Coincidence degree, Global stability. 1. I N T R O D U C T I O N The classical Lotka-Volterra type predator-prey systems are very important in the models of multi-species population dynamics. There are considerable works on the global dynamics of Lotka-Volterra predator-prey systems (see, for example, [1-3]). It is often ob...
متن کاملThe stability of Lotka-Volterra metacommunities on random dispersal networks∗
We study the comparative linear stability of Lotka-Volterra metacommunities in cases where dispersal coefficients between individual communities within the larger metacommunity are either uniformly or normally distributed. We also vary the mean interaction strength between species within a community. In the case of uniform dispersal coefficients, stability (as quantified by the leading eigenval...
متن کاملمنابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ذخیره در منابع من قبلا به منابع من ذحیره شده{@ msg_add @}
عنوان ژورنال
دوره 4 شماره 1
صفحات 87- 94
تاریخ انتشار 2015-06-30
با دنبال کردن یک ژورنال هنگامی که شماره جدید این ژورنال منتشر می شود به شما از طریق ایمیل اطلاع داده می شود.
میزبانی شده توسط پلتفرم ابری doprax.com
copyright © 2015-2023