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Chaos Behavior and Estimation of the Unknown Parameters of Stochastic Lattice Gas for Prey-Predator Model with Pair-Approximation
Department of Mathematics and Computer Science, Faculty of Science, Ibb University, Ibb, Yemen
- 1 Department of Mathematics and Computer Science, Faculty of Science, Ibb University, Ibb, Yemen
Applied Mathematics·Volume 07 (2016)·Pages 1765–1779·Published 12 September 2016·DOI10.4236/am.2016.715148
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Abstract
In this paper, the problem of chaos, stability and estimation of unknown parameters of the stochastic lattice gas for prey-predator model with pair-approximation is studied. The result shows that this dynamical system exhibits an oscillatory behavior of the population densities of prey and predator. Using Liapunov stability technique, the estimators of the unknown probabilities are derived, and also the updating rules for stability around its steady states are derived. Furthermore the feedback control law has been as non-linear functions of the population densities. Numerical simulation study is presented graphically.
KeywordsStochastic Lattice Gas ModelPrey-PredatorUpdating RulesEstimationSystem State
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