Fractional order prey-predator model with infected predators in the presence of competition and toxicity
Mohamed Reda Lemnaouar, Mohamed Khalfaoui, Younes Louartassi, I. Tolaimate
Abstract
In this paper, we propose a fractional-order prey-predator model with reserved area in the presence of the toxicity and competition. We prove different mathematical results like existence, uniqueness, non negativity and boundedness of the solution for our model. Further, we discuss the local and global stability of these equilibria. Finally, we perform numerical simulations to prove our results.
Topics & Concepts
UniquenessPredationCompetition (biology)Stability (learning theory)Applied mathematicsPredatorMathematicsOrder (exchange)Competition modelEcologyMathematical optimizationControl theory (sociology)BiologyMathematical analysisComputer scienceEconomicsMicroeconomicsArtificial intelligenceControl (management)Profit (economics)Machine learningFinanceFractional Differential Equations SolutionsMathematical and Theoretical Epidemiology and Ecology ModelsAdvanced Differential Equations and Dynamical Systems