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<title>A quasi chemical approach for the modeling of predator-prey 
interactions</title>
<authors>
<author>Muhammad Shakil</author>
<author>H. A. Wahab</author>
<author>Muhammad Naeem</author>
<author>Saira Bhatti</author>
</authors>
<affiliations>
<affiliation>
Department of Mathematics, Hazara University, Manshera, Pakistan
</affiliation>
<affiliation>
Department of Information Technology, Hazara University, Manshera, Pakistan
</affiliation>
<affiliation>
Department of Mathematics, COMSATS Institute of Information Technology, Abbottabad, Pakistan
</affiliation>
</affiliations>
<journal>Network Biology</journal>
<issn>ISSN 2220-8879</issn>
<homepage>http://www.iaees.org/publications/journals/nb/online-version.asp</homepage>
<year>2014</year>
<volume>4</volume>
<issue>3</issue>
<startpage>130</startpage>
<endpage>150</endpage>
<publisher>International Academy of Ecology and Environmental Sciences</publisher>
<location>Hong Kong</location>
<date>
<received>3 April 2014</received>
<accepted>8 May 2014</accepted>
<published>1 September 2014</published>
</date>
<keywords>
<keyword>quasi-chemical approach</keyword>
<keyword>predator-prey interactions</keyword>
<keyword>modeling fox and rabbit interactions</keyword>
</keywords>
<abstract>
We aim to develop the reaction diffusion equation for different types of mechanism of the predator-prey interactions with quasi chemical approach. The chemical reactions representing the interactions obey the mass action law. Since the cell-jump models may be considered as the proper diffusion models by themselves, the territorial animal like fox is given a simple cell as its territory. Under the proper relations between coefficients, like complex balance or detailed balance, this system demonstrated globally stable dynamics.
</abstract>
<doi>DOI 10.0000/issn-2220-8879-networkbiology-2014-v4-0011</doi>
<url>http://www.iaees.org/publications/journals/nb/articles/2014-4(3)/quasi-chemical-approach-for-modeling-predator-prey-interactions.pdf</url>
</record>
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