| 一类含有避难所和收获的生态流行病模型的稳定性 |
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| 引用本文： | 童姗姗,连冬艳,马戈.一类含有避难所和收获的生态流行病模型的稳定性[J].北华大学学报(自然科学版),2016,17(1):15-19. |
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| 作者姓名： | 童姗姗 连冬艳 马戈 |
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| 作者单位： | 南阳理工学院数理学院,河南 南阳,473004;南阳理工学院数理学院,河南 南阳,473004;南阳理工学院数理学院,河南 南阳,473004 |
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| 基金项目： | 河南省科技攻关计划项目(122102210060) |
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| 摘 要： | 讨论了一类具有避难所和收获的SI生态流行病模型,得到了各平衡点存在的充分条件.通过构造Liapunov函数,获得各平衡点全局稳定性条件,进而探讨了收获努力量和避难所效应对系统持久生存性的影响.最终发现避难所对于此系统具稳定化作用,适当调节收获努力量和避难所比例可消除流行病,有利于生态资源的可持续发展.
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| 关 键 词： | 避难所效应 收获 生态流行病模型 全局稳定性 |
Stability of an Eco-epidemiological Model with a Prey Refuge and Harvesting |
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| Tong Shanshan,Lian Dongyan,Ma Ge.Stability of an Eco-epidemiological Model with a Prey Refuge and Harvesting[J].Journal of Beihua University(Natural Science),2016,17(1):15-19. |
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| Authors: | Tong Shanshan Lian Dongyan Ma Ge |
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| Abstract: | A class of SI eco-epidemiological model with refuge and harvest is discussed. The sufficient conditions for the existence of the equilibrium points are analyzed, and the global stability of the equilibrium points is obtained by constructing the Liapunov function,and the effect of the harvest effort and the refuge effect on the system's permanence is discussed. Finally,it is found that the refuge of the system has a stabilizing effect,the appropriate adjustment of the amount of effort and the proportion of the shelter can eliminate the epidemic,which is conducive to the sustainable development of ecological resources. |
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| Keywords: | refuge effect harvest ecological epidemic model global stability |
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