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Start Over Descriptor "*DELAY differential equations" Topic bifurcation diagrams Topic predation Topic stability Journal international journal of bifurcation & chaos in applied sciences & engineering

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1 results on '"*DELAY differential equations"'

1. Delay-Induced Triple-Zero Bifurcation in a Delayed Leslie-Type Predator-Prey Model with Additive Allee Effect.

Author

Jiang, Jiao, Song, Yongli, and Yu, Pei

Subjects
*PREDATION, *ALLEE effect, *BIFURCATION diagrams, *DELAY differential equations, *COMBINATORIAL dynamics
Abstract

In this paper, a Leslie-type predator-prey model with ratio-dependent functional response and Allee effect on prey is considered. We first study the existence of the multiple positive equilibria and their stability. Then we investigate the effect of delay on the distribution of the roots of characteristic equation and obtain the conditions for the occurrence of simple-zero, double-zero and triple-zero singularities. The formulations for calculating the normal form of the triple-zero bifurcation of the delay differential equations are derived. We show that, under certain conditions on the parameters, the system exhibits homoclinic orbit, heteroclinic orbit and periodic orbit. [ABSTRACT FROM AUTHOR]

Published
2016
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