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arXiv · 1601.05125

Existence of periodic orbits for periodic eco-epidemic models with disease in the prey

César M. Silva
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Abstract

For an eco-epidemic model with disease in the prey and periodic coefficients it is conjectured in [Xingge Niu, Tailei Zhang, Zhidong Teng, The asymptotic behavior of a nonautonomous eco-epidemic model with disease in the prey, Applied Mathematical Modelling 35, 457-470 (2011)] that, when the infected prey is permanent, there is a positive periodic orbit that is globally asymptotically stable in the interior of $(\R^+)^3$. In this paper we prove the existence part of the conjecture.

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César M. Silva. 2016-01-19. Existence of periodic orbits for periodic eco-epidemic models with disease in the prey. https://arxiv.org/abs/1601.05125

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