منابع مشابه
A Periodic Lotka-volterra System
In this paper periodic time-dependent Lotka-Volterra systems are considered. It is shown that such a system has positive periodic solutions. It is done without constructive conditions over the period and the parameters. 1. The Periodic Lotka-Volterra System. Consider the Predator-Prey model (see Volterra [1]) N ′ 1 = (ε1 − γ1N2)N1 N ′ 2 = (−ε2 + γ2N1)N2. (1) The functions N1 and N2 measure the ...
متن کاملThe 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...
متن کاملA Remark on the Period of the Periodic Solution in the Lotka - Volterra System
The Lotka-Volterra equations have been at the root of almost every investigation into population dynamics for the last few decades. They predict the existence of population cycles in which the period is an important parameter. It is well known that (1.1) has a one-parameter family of periodic solutions with the equilibrium (y/S, a//3) as center point. Volterra 131 computed that for small distur...
متن کاملThe Cyclicity of Period Annuli of a Quadratic Reversible Lotka-Volterra System with Two Centers
This paper is concerned with the bifurcations of limit cycles in a quadratic reversible Lotka-Volterra system with two centers under quadratic perturbations. By studying the number of zeros of Abelian integral based on the geometric properties of some planar curves, we obtain the cyclicity of each periodic annulus of the system under quadratic perturbations is two, and the cyclicity of two peri...
متن کاملGeneralized Lotka - Volterra ( GLV )
The Generalized Lotka-Volterra (GLV) model: w i (t + 1) = w i (t) + a w(t) ? c w(t)w i (t) ; i = 1 provides a general method to simulate, analyze and understand a wide class of phenomena that are characterized by power-law probability distributions: P (w)dw w ?1? dw (1) and truncated Levy ights uctuations L (w).
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ژورنال
عنوان ژورنال: Taiwanese Journal of Mathematics
سال: 1997
ISSN: 1027-5487
DOI: 10.11650/twjm/1500406122