Abstract
A two-species non-autonomous system is considered. The system models two population dispersal between two patches in a heterogeneous environment. Using the continuation theorem of coincidence degree theory and analysis techniques, we establish criteria for the existence of periodic solutions of two-species cooperative system governed by impulsive differential equations. Further, numerical simulation shows that our models can occur in many forms of complexities including periodic oscillation and strange chaotic strange attractor.
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Wang, K., Yan, Y., Gui, Z. (2011). The Existence and Simulations of Periodic Solution of a Two-Species Cooperative System with Impulsive Perturbations. In: Liu, C., Chang, J., Yang, A. (eds) Information Computing and Applications. ICICA 2011. Communications in Computer and Information Science, vol 244. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-27452-7_93
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DOI: https://doi.org/10.1007/978-3-642-27452-7_93
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