Stability analysis of the fractional-order prey-predator model with infection
P. Ramesh, M. Sambath, Mohd Hafiz Mohd, K. Balachandran
Abstract
In this paper, we propose a fractional-order prey-predator model with infection on both populations. First, we prove some important results such as existence, uniqueness, non-negativity and boundedness of the solutions of the fractional-order dynamical system. Next, we discuss the local stability and global stability of the fractional-order prey-predator model. Numerical simulations are presented with several examples.
Topics & Concepts
UniquenessStability (learning theory)PredationApplied mathematicsMathematicsOrder (exchange)Control theory (sociology)PredatorMathematical optimizationMathematical analysisEcologyComputer scienceBiologyEconomicsArtificial intelligenceControl (management)Machine learningFinanceFractional Differential Equations SolutionsMathematical and Theoretical Epidemiology and Ecology ModelsAdvanced Differential Equations and Dynamical Systems