Dynamics of a delayed within host model for dengue infection with immune response and Beddington-DeAngelis incidence. (English) Zbl 1487.34134
Summary: In this paper, a new delayed within host model for dengue fever with immune response and Beddington-DeAngelis incidence is investigated. The basic reproduction number is computed. In addition, a detailed analysis on the local and global dynamics of the model is conducted. Finally, sensitivity analysis is carried out on basic reproduction number and numerical simulations are given to elucidate our theoretical results.
MSC:
| 34K18 | Bifurcation theory of functional-differential equations |
| 34K20 | Stability theory of functional-differential equations |
| 92D30 | Epidemiology |
Keywords:
time delay; Beddington-DeAngelis incidence; immune response; global stability; Hopf bifurcationReferences:
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