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Stability analysis for a class of discrete schistosomiasis models with general incidence

机译:一类具有一般发病率的离散血吸虫病模型的稳定性分析

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In this paper, we propose to study a class of discrete schistosomiasis models with general incidence function. This model is derived from a continuous schistosomiasis model (in Appl. Math. 4:1682-1693, 2003) by using the backward Euler discretization method with step size h = 1 $h=1$ . We visit some basic properties of this discrete model and we study the stabilities of the equilibria by constructing some appropriate Lyapunov functional for the endemic equilibrium.
机译:在本文中,我们建议研究一类具有一般发病率函数的离散血吸虫病模型。该模型是通过使用步长为h = 1 $ h = 1 $的后向Euler离散化方法从连续血吸虫病模型(在Appl。Math。4:1682-1693,2003)中得出的。我们访问了此离散模型的一些基本属性,并通过为地方均衡构造一些适当的Lyapunov函数来研究平衡的稳定性。

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