Global Stability Analysis of Dengue Model with Awareness, Vector Control and Time Delays
In this paper; a mathematical model for a single-strain dengue virus transmission; incorporating vector control; disease awareness among susceptible humans; and both the latent delays for human and mosquitoes; is proposed and studied. The global stability properties of disease-free equilibrium and e...
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| Main Authors: | , , |
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| Format: | text |
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Archīum Ateneo
2021
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| Subjects: | |
| Online Access: | https://archium.ateneo.edu/mathematics-faculty-pubs/174 https://link.springer.com/chapter/10.1007/978-3-030-79606-8_14 |
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| Institution: | Ateneo De Manila University |
| Summary: | In this paper; a mathematical model for a single-strain dengue virus transmission; incorporating vector control; disease awareness among susceptible humans; and both the latent delays for human and mosquitoes; is proposed and studied. The global stability properties of disease-free equilibrium and endemic equilibrium are completely established through Lyapunov functionals and LaSalle's invariance principle. The global dynamics of the equilibrium points are characterized by the value of basic reproductive number R0 . The disease-free equilibrium is globally asymptotically stable if R0 < 1 ; and is unstable if R0 > 1 . Furthermore; the endemic equilibrium is globally asymptotically stable if R0>1 . Numerical simulations are presented to illustrate the theoretical results. |
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