Geodesic
Dynamics in a discrete predator-prey system with infected prey
Mathematica Bohemica, Tome 139 (2014) no. 3, pp. 511-534.

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In this paper, a discrete version of continuous non-autonomous predator-prey model with infected prey is investigated. By using Gaines and Mawhin's continuation theorem of coincidence degree theory and the method of Lyapunov function, some sufficient conditions for the existence and global asymptotical stability of positive periodic solution of difference equations in consideration are established. An example shows the feasibility of the main results.
DOI : 10.21136/MB.2014.143939
Classification : 34C25, 34K20, 39A23, 39A30, 92D25
Keywords: predator-prey model; periodic solution; topological degree; global asymptotic stability 
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Xu, Changjin; Li, Peiluan. Dynamics in a discrete predator-prey system with infected prey. Mathematica Bohemica, Tome 139 (2014) no. 3, pp. 511-534. doi : 10.21136/MB.2014.143939. http://geodesic.mathdoc.fr/articles/10.21136/MB.2014.143939/

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