Global attractivity of the periodic Kolmogorov system

Global Attractivity and Periodic Nature of a Difference Equation

Our goal in this paper is to investigate the global stability character and the periodicity of the solutions of the difference equation Where the initial conditions x ,x ,...,x are arbitrary positive real numbers, r = max{l, k} is nonnegative integer –r –r+1 0 and a, b, c, d are positive constants.

Global Attractivity and Oscillations in a Periodic Delay - Logistic Equation

in which r and K are positive numbers; r is related to the reproduction of the species while K is related to the capacity of the environment to sustain the population. It is assumed that there is no immigration or emigration and other characteristics such as age dependence and interactions with other species are assumed to be not significant. Elementary analysis of (1.1) indicates that the solu...

Oscillation and global attractivity in hematopoiesis model with periodic coefficients

In this paper we shall consider the nonlinear delay differential equation p0ðtÞ 1⁄4 bðtÞp mðt kxÞ 1þ pnðt kxÞ cðtÞpðtÞ; ð Þ where k is a positive integer, bðtÞ and cðtÞ are positive periodic functions of period x. In the nondelay case we shall show that (*) has a unique positive periodic solution pðtÞ, and we will study the global attractivity of pðtÞ. In the delay case we shall establish some ...

Global Attractivity and Periodic Solution of a Discrete Multispecies Cooperation and Competition Predator-Prey System

EXISTENCE AND GLOBAL ATTRACTIVITY OF PERIODIC SOLUTIONS IN n-SPECIES FOOD-CHAIN SYSTEM WITH TIME DELAYS

A delayed periodic n-species simple food-chain system with Holling type-II functional response is investigated. By means of Gaines and Mawhin’s continuation theorem of coincidence degree theory and by constructing appropriate Lyapunov functionals, sufficient conditions are obtained for the existence and global attractivity of positive periodic solutions of the system.