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Equilibrium points, stability and numerical solutions of fractional-order predator-prey and rabies models |
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| Authors: | E Ahmed |
| Institution: | a Faculty of Science, Mansoura University, Egypt b Faculty of Science, Alexandria University, Alexandria, Egypt c Damietta Faculty of Science, Mansoura University, New Damietta, Egypt |
| Abstract: | In this paper we are concerned with the fractional-order predator-prey model and the fractional-order rabies model. Existence and uniqueness of solutions are proved. The stability of equilibrium points are studied. Numerical solutions of these models are given. An example is given where the equilibrium point is a centre for the integer order system but locally asymptotically stable for its fractional-order counterpart. |
| Keywords: | Existence and uniqueness Predator-prey system Rabies system Fractional-order differential equations Equilibrium points Stability Numerical solution Predictor-corrector method |
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