DYNAMICS OF A PREY-DEPENDENT DIGESTIVE MODEL WITH STATE-DEPENDENT IMPULSIVE CONTROL-Reference-Cited by-同舟云学术

DYNAMICS OF A PREY-DEPENDENT DIGESTIVE MODEL WITH STATE-DEPENDENT IMPULSIVE CONTROL

Published:2012-04 Issue:04 Volume:22 Page:1250092
ISSN:0218-1274
Container-title:International Journal of Bifurcation and Chaos
language:en
Short-container-title:Int. J. Bifurcation Chaos

Author:

QIAN LINNING¹,LU QISHAO¹,BAI JIARU²,FENG ZHAOSHENG³

Affiliation:

1. School of Science, Beijing University of Aeronautics and Astronautics, Beijing 100191, P. R. China

2. School of Advanced Engineering, Beijing University of Aeronautics and Astronautics, Beijing 100191, P. R. China

3. Department of Mathematics, University of Texas-Pan American, Edinburg, TX 78539, USA

Abstract

In this paper, we study the dynamical behavior of a prey-dependent digestive model with a state-dependent impulsive effect. Using the Poincaré map and the Lambert W-function, we find the analytical expression of discrete mapping. Sufficient conditions are established for transcritical bifurcation and period-doubling bifurcation through an analytical method. Exact locations of these bifurcations are explored. Numerical simulations of an example are illustrated which agree well with our theoretical results.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Modelling and Simulation,Engineering (miscellaneous)

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0218127412500927

Reference24 articles.

1. Mathematical Methods in Medicine

2. On the LambertW function

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