Stability Analysis of a Mathematical Model on Malaria with Beddington-DeAngelis Functional Response

CHEN Hong-yan,WANG Wen-di

doi:10.13718/j.cnki.xdzk.2015.09.014

Journal of Southwest University Natural Science Edition

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2015 Volume 37 Issue 9

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CHEN Hong-yan,WANG Wen-di. Stability Analysis of a Mathematical Model on Malaria with Beddington-DeAngelis Functional Response[J]. Journal of Southwest University Natural Science Edition, 2015, 37(9). doi: 10.13718/j.cnki.xdzk.2015.09.014

Citation:

CHEN Hong-yan,WANG Wen-di. Stability Analysis of a Mathematical Model on Malaria with Beddington-DeAngelis Functional Response[J]. Journal of Southwest University Natural Science Edition, 2015, 37(9). doi: 10.13718/j.cnki.xdzk.2015.09.014

Stability Analysis of a Mathematical Model on Malaria with Beddington-DeAngelis Functional Response

CHEN Hong-yan,WANG Wen-di

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Abstract

In this paper ,a malaria dynamic model with Beddington‐DeAngelis functional response is pro‐posed .With the next‐generation matrix method ,the basic reproduction number R0 is obtained .By con‐structing Lyapunov functions ,it is show n that the infection‐free equilibrium is globally asymptotically sta‐ble when R0 ≤1 and the positive equilibrium is globally asymptotically stable when R0 >1 .
- Beddington-DeAngelis functional response，Lyapunov function，global stability,
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通讯作者: 陈斌, bchen63@163.com

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沈阳化工大学材料科学与工程学院沈阳 110142

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