Abstract
In this study, the dynamical behaviors of a discrete time eco-epidemiological system are discussed. The local stability, bifurcation and chaos are obtained. Moreover, the global asymptotical stability of this system is explored by an iteration scheme. The numerical simulations illustrate the theoretical results and exhibit the complex dynamical behaviors such as flip bifurcation, Hopf bifurcation and chaotic dynamical behaviors. Our main results provide an efficient method to analyze the global asymptotical stability for general three dimensional discrete systems.
Original language | English |
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Pages (from-to) | 20-31 |
Number of pages | 12 |
Journal | Chaos, Solitons and Fractals |
Volume | 99 |
DOIs | |
Publication status | Published - Jun 2017 |
Scopus Subject Areas
- Statistical and Nonlinear Physics
- Mathematics(all)
- Physics and Astronomy(all)
- Applied Mathematics
User-Defined Keywords
- Chaos
- Discrete eco-epidemiological system
- Flip bifurcation
- Globally asymptotically stable
- Hopf bifurcation
- Predator-prey