Global Stability Analysis of a General Scalar Difference Equation
| Autor: | Özlem Ak Gümüş, Gamzegul Karahisarli, Hüseyin Merdan |
|---|---|
| Přispěvatelé: | TOBB ETU, Faculty of Science and Literature, Depertment of Mathematics, TOBB ETÜ, Fen Edebiyat Fakültesi, Matematik Bölümü, Merdan, Hüseyin |
| Jazyk: | angličtina |
| Rok vydání: | 2018 |
| Předmět: |
Control and Optimization
Differential equation Difference equation Scalar (mathematics) Computational Mechanics Statistical and Nonlinear Physics Asexual reproduction Global stability Fixed point Allee effect symbols.namesake symbols Quantitative Biology::Populations and Evolution Discrete Mathematics and Combinatorics Applied mathematics Dynamical sytems Mathematics |
| Popis: | We consider a general first-order scalar difference equation with and without Allee effect. The model without Allee effect represents asexual reproduction of a species while the model including Allee effect represents sexual reproduction. We analyze global stabilities of both models analytically and compare the results obtained. Numerical simulations are included to support the analytical results. We conclude that Allee effect has a destabilizing effect on the global stability of the model. This result is different from the local stability behaviour of the same fixed point of the model. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
|