| Autor: |
Syams, Niswah Yanfa Nabilah, Sumarno, Hadi, Sianturi, Paian |
| Předmět: |
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| Zdroj: |
Journal of Mathematical & Fundamental Sciences; 2021, Vol. 53 Issue 2, p166-181, 16p |
| Abstrakt: |
Various mathematical models have been developed to describe the transmission of malaria disease. The purpose of this study was to modify an existing mathematical model of malaria disease by using a CTMC stochastic model. The investigation focused on the transition probability, the basic reproduction number (R0), the outbreak probability, the expected time required to reach a disease-free equilibrium, and the quasi-stationary probability distribution. The population system will experience disease outbreak if R0 > 1, whereas an outbreak will not occur in the population system if R0 ≤ 1. The probability that a mosquito bites an infectious human is denoted as 𝑘, while 𝜃 is associated with human immunity. Based on the numerical analysis conducted, 𝑘 and 𝜃 have high a contribution to the distribution of malaria disease. This conclusion is based on their impact on the outbreak probability and the expected time required to reach a disease-free equilibrium. [ABSTRACT FROM AUTHOR] |
| Databáze: |
Complementary Index |
| Externí odkaz: |
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