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

Leonid Berezansky; Elena Braverman

doi:10.1016/j.jmaa.2014.02.013

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

Leonid Berezansky, Elena Braverman

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

5 Scopus citations

Abstract

We consider the delay population dynamics model dN/dt=f(Nτ(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.

Original language	English
Pages (from-to)	873-888
Number of pages	16
Journal	Journal of Mathematical Analysis and Applications
Volume	415
Issue number	2
DOIs	https://doi.org/10.1016/j.jmaa.2014.02.013
State	Published - 15 Jul 2014

Keywords

Allee effect
Attractivity
Bounded solutions
Equations with a distributed delay
Monotone production function
Multistability
Oscillation

ASJC Scopus subject areas

Analysis
Applied Mathematics

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10.1016/j.jmaa.2014.02.013

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abstract = "We consider the delay population dynamics model dN/dt=f(Nτ(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.",

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AU - Braverman, Elena

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N2 - We consider the delay population dynamics model dN/dt=f(Nτ(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.

AB - We consider the delay population dynamics model dN/dt=f(Nτ(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.

KW - Allee effect

KW - Attractivity

KW - Bounded solutions

KW - Equations with a distributed delay

KW - Monotone production function

KW - Multistability

KW - Oscillation

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JF - Journal of Mathematical Analysis and Applications

IS - 2

ER -

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

Abstract

Keywords

ASJC Scopus subject areas

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