Z-type control of populations for Lotka-Volterra model with exponential convergence
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- 作者：Yunong Zhang ; a ; b ; c ; zhynong@mail.sysu.edu.cn" class="auth_mail" title="E-mail the corresponding author ; Xiaogang Yana ; b ; c ; Bolin Liaoa ; b ; c ; d ; Yinyan Zhanga ; b ; c ; Yaqiong Dinga ; b ; c
- 关键词：Lotka&ndash ; Volterra model ; Z-type controller ; Population control ; Exponential convergence ; Numerical simulation
- 刊名：Mathematical Biosciences
- 出版年：2016
- 出版时间：February 2016
- 年：2016
- 卷：272
- 期：Complete
- 页码：15-23
- 全文大小：707 K
文摘
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Applications of Z-type dynamic method for solving population control problem of Lotka–Volterra model are illustrated.
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Three Z-type control laws are developed.
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Control laws keep species away from extinction and improve stability of ecosystems.
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Three control laws possess exponential convergence performances.
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Theoretical analyses and numerical simulations substantiate effectiveness of such control laws.