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

Hongxia Zhang, Ping Han and Qin Guo

Chaos, Solitons & Fractals, 2023, vol. 171, issue C

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.

Keywords: Threshold policy control; Jumping dynamics; Stability of equilibria; Stochastic vegetation ecosystem; Period force (search for similar items in EconPapers)
Date: 2023
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:171:y:2023:i:c:s0960077923004137

DOI: 10.1016/j.chaos.2023.113512

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