منابع مشابه
On the periodic logistic equation
We show that the p-periodic logistic equation xn+1 = μn mod pxn(1 − xn) has cycles (periodic solutions) of minimal periods 1, p, 2p, 3p, .... Then we extend Singer’s theorem to periodic difference equations, and use it to show the p-periodic logistic equation has at most p stable cycles. Also, we present computational methods investigating the stable cycles in case p = 2 and 3.
متن کاملPositive Periodic Solutions in Shifts δ± for a Neutral Delay Logistic Equation on Time Scales
where a, β, b, c, τ are nonnegative continuous periodic functions. Since then, different classes of neutral functional differential and difference equations have been extensively studied; see, for example, [2-5]. However, in the natural world, there are many species whose developing processes are both continuous and discrete. Hence, using the only differential equation or difference equation ca...
متن کاملExistence of positive periodic solutions for a periodic logistic equation
In this paper, we study a more generalized class of periodic logistic equations. By using the method of coincidence degree, a set of sufficient conditions is obtained for the existence of positive periodic solutions of the equations which are under the consideration. 2002 Elsevier Science Inc. All rights reserved.
متن کاملA Nonlinear Neutral Periodic Differential Equation
In this article we consider the existence, uniqueness and positivity of a first order non-linear periodic differential equation. The main tool employed is the Krasnosel’skĭı’s fixed point theorem for the sum of a completely continuous operator and a contraction.
متن کاملGlobal 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...
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ژورنال
عنوان ژورنال: Glasgow Mathematical Journal
سال: 1991
ISSN: 0017-0895,1469-509X
DOI: 10.1017/s001708950000834x