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Volume 31, Issue 3
Global Dynamics of a Predator-Prey Model

Rui Huang, Qiangyou Pan & Lianzhang Bao

Commun. Math. Res., 31 (2015), pp. 274-280.

Published online: 2021-05

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  • Abstract

In this paper, we consider a predator-prey model. A sufficient condition is presented for the stability of the equilibrium, which is different from the one for the model with Hassell-Varley type functional response. Furthermore, by constructing a Lyapunov function, we prove that the positive equilibrium is asymptotically stable.

  • Keywords

Allee effect, asymptotically stable, predator-prey model.

  • AMS Subject Headings

34A34, 34D20

  • Copyright

COPYRIGHT: © Global Science Press

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@Article{CMR-31-274, author = {Rui and Huang and and 18661 and and Rui Huang and Qiangyou and Pan and and 18662 and and Qiangyou Pan and Lianzhang and Bao and and 18663 and and Lianzhang Bao}, title = {Global Dynamics of a Predator-Prey Model}, journal = {Communications in Mathematical Research }, year = {2021}, volume = {31}, number = {3}, pages = {274--280}, abstract = {

In this paper, we consider a predator-prey model. A sufficient condition is presented for the stability of the equilibrium, which is different from the one for the model with Hassell-Varley type functional response. Furthermore, by constructing a Lyapunov function, we prove that the positive equilibrium is asymptotically stable.

}, issn = {2707-8523}, doi = {https://doi.org/10.13447/j.1674-5647.2015.03.10}, url = {http://global-sci.org/intro/article_detail/cmr/18931.html} }
TY - JOUR T1 - Global Dynamics of a Predator-Prey Model AU - Huang , Rui AU - Pan , Qiangyou AU - Bao , Lianzhang JO - Communications in Mathematical Research VL - 3 SP - 274 EP - 280 PY - 2021 DA - 2021/05 SN - 31 DO - http://doi.org/10.13447/j.1674-5647.2015.03.10 UR - https://global-sci.org/intro/article_detail/cmr/18931.html KW - Allee effect, asymptotically stable, predator-prey model. AB -

In this paper, we consider a predator-prey model. A sufficient condition is presented for the stability of the equilibrium, which is different from the one for the model with Hassell-Varley type functional response. Furthermore, by constructing a Lyapunov function, we prove that the positive equilibrium is asymptotically stable.

Rui Huang, Qiangyou Pan & Lianzhang Bao. (2021). Global Dynamics of a Predator-Prey Model. Communications in Mathematical Research . 31 (3). 274-280. doi:10.13447/j.1674-5647.2015.03.10
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