Azmi, Amalia Ulul (2018) STABILITY ANALYSIS ON TUBERCULOSIS DISEASE TRANSMISSION WITH SEILR MODEL. Undergraduate thesis, UNDIP.
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Abstract
Mathematics model from Tuberculosis disease with lost of sight compartment is constructed. Stability analysis show that the dynamic of the model are determined by the basic reproduction number ℜ0. Depending on the value of the basic reproduction number ℜ0, this state is asymptotically stable if ℜ0 < 1 in the disease free equilibrium case and ℜ0 > 1 in the endemic case. Direct Lyapunov method enables us to prove that the model is globally stable. Numerical simulation are provide to illustrate analytical results.
| Item Type: | Thesis (Undergraduate) |
|---|---|
| Subjects: | Q Science > QA Mathematics |
| Divisions: | Faculty of Science and Mathematics > Department of Mathematics |
| ID Code: | 84209 |
| Deposited By: | INVALID USER |
| Deposited On: | 11 Jun 2022 14:30 |
| Last Modified: | 11 Jun 2022 14:30 |
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- STABILITY ANALYSIS ON TUBERCULOSIS DISEASE TRANSMISSION WITH SEILR MODEL. (deposited 14 Jun 2022 15:44)
- STABILITY ANALYSIS ON TUBERCULOSIS DISEASE TRANSMISSION WITH SEILR MODEL. (deposited 11 Jun 2022 14:30) [Currently Displayed]
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