| 一类具扩散的两种群相互作用的传染病模型 |
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| 引用本文： | 张群英,张来,朱石花. 一类具扩散的两种群相互作用的传染病模型[J]. 扬州大学学报(自然科学版), 2007, 10(3): 6-10 |
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| 作者姓名： | 张群英 张来 朱石花 |
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| 作者单位： | 扬州大学,数学科学学院,江苏,扬州,225002 |
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| 摘 要： | 针对具扩散的两种群相互作用的传染病模型,利用线性化方法及构造适当的Lyapunov泛函探讨在有界区域上的一类半线性耦合抛物型方程组的动力学行为.结果表明,只要易感食饵的内部竞争率足够小、染病率足够大,且染病食饵的死亡率足够小,捕食者对易感食饵的捕获率足够小,则正平衡点E*全局渐近稳定.
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| 关 键 词： | 反应扩散系统 相互作用 传染病模型 动力学 |
| 文章编号： | 1007-824X（2007）03-0006-05 |
| 修稿时间： | 2007-01-24 |
A diffusive species-interactive epidemiological model |
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| ZHANG Qun-ying,ZHANG Lai,ZHU Shi-hua. A diffusive species-interactive epidemiological model[J]. Journal of Yangzhou University(Natural Science Edition), 2007, 10(3): 6-10 |
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| Authors: | ZHANG Qun-ying ZHANG Lai ZHU Shi-hua |
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| Affiliation: | Coll of Math Sei, Yangzhou Univ, Yangzhou 225002, China |
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| Abstract: | A diffusive species-interactive epidemiological model is investigated.The dynamics of a coupled system of semilinear parabolic equations is discussed using the method of upper and lower solutions and of constructing the Lyapunov function.The asymptotic behavior of the solution is given.Result shows that if the intra-specific competition of susceptible prey is weak enough,the infection rate of susceptible prey is big,the death rate of infected prey is small,and the capturing rate of susceptible prey by the predator is small,then the positive equilibrium is globally asymptotically stable. |
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| Keywords: | reaction diffusion system interaction epidemic model dynamics |
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