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Stability and jumping dynamics of a stochastic vegetation ecosystem induced by threshold policy control

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  • Zhang, Hongxia
  • Han, Ping
  • Guo, Qin

Abstract

The establishment of vegetation ecosystem control tactics needs to consider the late vegetation degradation and limitation of economic resources. The objective of this paper is to derive a stochastic vegetation ecosystem induced by the economic threshold policy control (TPC). The existence and stability conditions of the equilibria for two deterministic subsystems are discussed theoretically and numerically. Analyses show that the two subsystems have different topological properties. The jumping dynamics for the whole threshold policy control system with period force and noise are discussed in more detail, and the optimal control tactic, that is the jumping critical point is found by the evolution of the stationary vegetation biomass (SVB) with respect to the control parameters. The most interesting result is that the initial value of the biomass is crucial to decide whether the current vegetation ecosystem can utilize the threshold policy control.

Suggested Citation

  • Zhang, Hongxia & Han, Ping & Guo, Qin, 2023. "Stability and jumping dynamics of a stochastic vegetation ecosystem induced by threshold policy control," Chaos, Solitons & Fractals, Elsevier, vol. 171(C).
    • Handle: RePEc:eee:chsofr:v:171:y:2023:i:c:s0960077923004137
    DOI: 10.1016/j.chaos.2023.113512
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    References listed on IDEAS

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    1. Wang, Kang-Kang & Ju, Lin & Wang, Ya-Jun & Li, Sheng-Hong, 2018. "Impact of colored cross-correlated non-Gaussian and Gaussian noises on stochastic resonance and stochastic stability for a metapopulation system driven by a multiplicative signal," Chaos, Solitons & Fractals, Elsevier, vol. 108(C), pages 166-181.
    2. Liang, Xiyin & Pei, Yongzhen & Zhu, Meixia & Lv, Yunfei, 2016. "Multiple kinds of optimal impulse control strategies on plant–pest–predator model with eco-epidemiology," Applied Mathematics and Computation, Elsevier, vol. 287, pages 1-11.
    3. Qin, Wenjie & Tan, Xuewen & Tosato, Marco & Liu, Xinzhi, 2019. "Threshold control strategy for a non-smooth Filippov ecosystem with group defense," Applied Mathematics and Computation, Elsevier, vol. 362(C), pages 1-1.
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