<?xml version="1.0" encoding="UTF-8" standalone="no"?>
<ArticleSet>
<Article>
<Journal>
<PublisherName>International Academy of Ecology and Environmental Sciences</PublisherName>
<JournalTitle>Network Biology</JournalTitle>
<issn>2220-8879</issn>
<Volume>9</Volume>
<Issue>3</Issue>
<PubDate PubStatus="ppublish">
<Year>2019</Year>
<Month>9</Month>
<Day>1</Day>
</PubDate>
</Journal>
<ArticleTitle>Stability, bifurcation and chaos control in a discrete-time 
prey-predator model with Holling type-II response</ArticleTitle>
<Pages>58-77</Pages>
<Language>EN</Language>
<AuthorList>
<Author>Muhammad Salman Khan</Author>
<Author>Muhammad Asif Khan</Author>
<Author>Muhammad Sajjad Shabbir</Author>
<Author>Qamar Din</Author>
</AuthorList>
<ArticleList>
<ArticleId IdType="url">http://www.iaees.org/publications/journals/nb/articles/2019-9(3)/stability-bifurcation-and-chaos-control-in-a-prey-predator-model.pdf</ArticleId>>
</ArticleList>
<Abstract>
This paper deals with the qualitative study of a discrete-time prey-predator model with Holling type-II response. Particularly, we obtained a dynamically consistent prey-predator discrete-time model by applying a nonstandard difference scheme. We explore the novel explicate parametric conditions for the local stability of positive equilibrium point. Moreover, it is shown that there exists Nimark-sacker bifurcation for the unique positive steady-state of given system. In order to control the bifurcation, we introduced a new control strategy. Moreover, some interesting numerical simulations are provided in order to verify the theoretical discussion and to explore the effectiveness and feasibility of new design control strategy.
</Abstract>
</Article>
</ArticleSet>
