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Network Biology, 2015, 5(2): 71-81
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Article

The modeling of predator-prey interactions

Muhammad Shakil1, H. A. Wahab1, Muhammad Naeem2, Saira Bhatti3, Muhammad Shahzad1
1Department of Mathematics, Hazara University, Manshera, Pakistan
2Department of Information Technology, Hazara University, Manshera, Pakistan
3Department of Mathematics, COMSATS Institute of Information Technology, Abbottabad, Pakistan

Received 15 February 2015;Accepted 20 March 2015;Published online 1 June 2015
IAEES

Abstract
In this paper, we aim to study the interactions between the territorial animals like foxes and the rabbits. The territories for the foxes are considered to be the simple cells. The interactions between predator and its prey are represented by the chemical reactions which obey the mass action law. In this sense, we apply the mass action law for predator prey models and the quasi chemical approach is applied for the interactions between the predator and its prey to develop the modeled equations for different possible mechanisms of the predator prey interactions.

Keywords predator-prey interactions;reaction diffusion systems;modeling;fox;rabbit.



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