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El-Gohary, Awad; Al-Ruzaiza, A. S.

doi:10.1023/a:1012253918774

Cited by 10 publications

(1 citation statement)

References 9 publications

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“…The control process terminates when the final external control reaches. El-Gohary and Al-Ruzaiza [18,19] discussed the chaos and adaptive control of a three-species, continuous-time prey-predator model. Recently, Madhusudanan et al [20] studied back-stepping control in a diseased prey-predator system.…”

Section: Introductionmentioning

confidence: 99%

Mathematical Analysis of a Prey–Predator System: An Adaptive Back-Stepping Control and Stochastic Approach

Das

Srinivas

Madhusudanan³

et al. 2019

MCA

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In this paper, stochastic analysis of a diseased prey–predator system involving adaptive back-stepping control is studied. The system was investigated for its dynamical behaviours, such as boundedness and local stability analysis. The global stability of the system was derived using the Lyapunov function. The uniform persistence condition for the system is obtained. The proposed system was studied with adaptive back-stepping control, and it is proved that the system stabilizes to its steady state in nonlinear feedback control. The value of the system is described mostly by the environmental stochasticity in the form of Gaussian white noise. We also established some conditions for oscillations of all positive solutions of the delayed system. Numerical simulations are illustrated, and sustained our analytical findings. We concluded that controlled harvesting on the susceptible and infected prey is able to control prey infection.

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Section: Introductionmentioning

confidence: 99%

Mathematical Analysis of a Prey–Predator System: An Adaptive Back-Stepping Control and Stochastic Approach

Das

Srinivas

Madhusudanan³

et al. 2019

MCA

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Adaptive control of nonlinear complexHolling II predator–prey system with unknown parameters

Aghababa

2015

Complexity

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In recent years, control of nonlinear complex predator–prey systems has attracted the attention of many researchers. The previous works have some weaknesses such as neglecting the consideration of the effects of both model uncertainties and unknown parameters and having an infinite time of convergence. To overcome the mentioned shortages, this article solves the problem of robust control of nonlinear complex Holling type II predator–prey system in a given finite time. It is assumed that the parameters of the system are fully unknown in advance and some uncertainties perturb the system's dynamics. To tackle the system unknown parameters, some adaptation laws are introduced. Thereafter, a robust switching controller is proposed to finite‐timely stabilize the predator–prey system. An illustrative example demonstrates the efficiency and usefulness of the proposed control strategy. © 2015 Wiley Periodicals, Inc. Complexity 21: 260–266, 2016

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Control of chaotic two-predator one-prey model with single state control signals

et al. 2020

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Cited by 10 publications

References 9 publications

Mathematical Analysis of a Prey–Predator System: An Adaptive Back-Stepping Control and Stochastic Approach

Mathematical Analysis of a Prey–Predator System: An Adaptive Back-Stepping Control and Stochastic Approach

Adaptive control of nonlinear complexHolling II predator–prey system with unknown parameters

Control of chaotic two-predator one-prey model with single state control signals

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