A delayed diffusive influenza model with two-strain and two vaccinations
| Autor: | Zhenwu Chen, Zhiting Xu |
|---|---|
| Rok vydání: | 2019 |
| Předmět: |
0209 industrial biotechnology
Strain (chemistry) Applied Mathematics 020206 networking & telecommunications 02 engineering and technology Stability (probability) Computational Mathematics 020901 industrial engineering & automation Lyapunov functional 0202 electrical engineering electronic engineering information engineering Applied mathematics Invariant (mathematics) Constant (mathematics) Mathematics |
| Zdroj: | Applied Mathematics and Computation. 349:439-453 |
| ISSN: | 0096-3003 |
| DOI: | 10.1016/j.amc.2018.12.065 |
| Popis: | This paper deals with the global stability of a delayed diffusive influenza model with two-strain and two vaccinations. First, we consider the well-posedness of solutions of the model and show that the model admits four constant equilibria: a disease-free equilibrium, two single-strain-infection equilibria, and a double-strain-infection equilibrium, which are determined by three threshold parameters R 1 , R 2 and R 3 (or R 4 ). Second, constructing four suitable Lyapunov functionals and using the LaSalle’s invariant principle, we establish the global stability of these equilibria. Finally, we give several numerical simulations to illustrates the analytic results. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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