Hopf bifurcation of an age-structured compartmental pest-pathogen model |
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Authors: | Zhen Wang Zhihua Liu |
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Institution: | School of Mathematical Sciences, Beijing Normal University, Beijing 100875, People?s Republic of China |
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Abstract: | This paper investigates an age-structured compartmental pest-pathogen model by using the theory of integrated semigroup. We study the stability of the steady state of the model by analyzing the associated characteristic transcendental equation. It is shown that Hopf bifurcation occurs at a positive steady state as bifurcating parameter passes a sequence of critical values. |
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