Travelling wave fronts in a vector disease model with delay |
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| Authors: | Guojian Lin Yiguang Hong |
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| Institution: | 1. School of Information, Renmin University of China, Beijing 100872, PR China;2. Institute of Systems Science, Academy of Mathematics and Systems Science, Chinese Academy of Science, Beijing 100080, PR China |
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| Abstract: | In this paper, we study the diffusive vector disease model with delay. This problem with strong biological background has attracted much research attention. We focus on the existence of traveling wave fronts, and find that there is a moving zone for the transition from the disease-free state to the infective state. To complete the theoretical analysis, we employ the mathematical tools including the monotone iteration technique as well as the upper and lower solution method. |
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| Keywords: | Vector disease model Travelling wave front Monotone iteration technique Upper and lower solution |
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