On multistability of equations with a distributed delay, monotone production and the Allee effect

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:415

Article

Berezansky, Leonid¹  Braverman, Elena² 

[1] Ben Gurion Univ Negev, Dept Math, IL-84105 Beer Sheva, Israel

[2] Univ Calgary, Dept Math & Stat, Calgary, AB T2N 1N4, Canada

关键词: Monotone production function;    Equations with a distributed delay;    Attractivity;    Allee effect;    Multistability;    Bounded solutions;    Oscillation;   

DOI  :  10.1016/j.jmaa.2014.02.013

来源: Elsevier

【 摘 要 】

We consider the delay population dynamics model dN/dt = f(N-tau(t)) - d(N(t)) with an increasing fecundity function f and any mortality function d where the Allee effect or multistability can be observed. The study includes non-autonomous equations with a distributed delay. Attractivity of certain positive solutions, persistence, extinction of solutions with initial values below a threshold, boundedness and oscillation are discussed. (C) 2014 Elsevier Inc. All rights reserved.

【 授权许可】

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