New sufficient conditions for the asymptotic stability of discrete time-delay systems

Sangapate, P.

doi:10.1186/1687-1847-2012-28

Cited by 3 publications

(1 citation statement)

References 23 publications

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“…Sangapate [23] presented new sufficient conditions for the asymptotic stability of discrete timedelay systems. Li [17] studied the bifurcation of a prey-predator system with sex-structure and sexual favoritism.…”

Section: Introductionmentioning

confidence: 99%

Stability and bifurcation analysis of a discrete predator-prey model with Holling type III functional response

Zhang¹,

Deng²,

Chu³

et al. 2016

J. Nonlinear Sci. Appl.

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The paper studies the dynamical behaviors of a discrete predator-prey system with Holling type III functional response. More precisely, we investigate the local stability of equilibriums, flip bifurcation and Neimark-Sacker bifurcation of the model by using the center manifold theorem and the bifurcation theory. And analyze the dynamic characteristics of the system in two-dimensional parameter-spaces, one can observe the "cluster" phenomenon. Numerical simulations not only illustrate our results, but also exhibit the complex dynamical behaviors of the model. The results show that we can more clearly and directly observe the chaotic phenomenon, period-adding and Neimark-Sacker bifurcation from two-dimensional parameter-spaces and the optimal parameters matching interval can also be found easily. c 2016 all rights reserved.

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Section: Introductionmentioning

confidence: 99%