Control Analysis of Stochastic Lagging Discrete Ecosystems
Abstract
:1. Introduction
2. Materials and Methods
The Lagged Discrete Ecosystem with Random Parameter and Its Orthogonal Polynomial Approximation
3. Results
3.1. Stability Control Analysis of the Stochastic Lagged Discrete Ecosystems
3.2. Hopf Bifurcation Control Analysis of the Stochastic Lagged Discrete Ecosystems
- (1)
- The Jacobi matrix of the discrete system has a pair of complex conjugate eigenvaluesandwithatand the other eigenvalues, with ;
- (2)
- Transversality condition: ;
- (3)
- Nonresonance condition or resonance condition
3.3. Numerical Simulations and Numerical Analysis
4. Conclusions
Funding
Conflicts of Interest
References
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Zhang, J. Control Analysis of Stochastic Lagging Discrete Ecosystems. Symmetry 2022, 14, 1039. https://doi.org/10.3390/sym14051039
Zhang J. Control Analysis of Stochastic Lagging Discrete Ecosystems. Symmetry. 2022; 14(5):1039. https://doi.org/10.3390/sym14051039
Chicago/Turabian StyleZhang, Jinyi. 2022. "Control Analysis of Stochastic Lagging Discrete Ecosystems" Symmetry 14, no. 5: 1039. https://doi.org/10.3390/sym14051039