Autor: |
Ali, Shoket, Raina, Ather Aziz, Iqbal, Javid, Mathur, Rinku |
Předmět: |
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Zdroj: |
Palestine Journal of Mathematics; 2019, Vol. 8 Issue 2, p380-391, 12p |
Abstrakt: |
In this investigation, a nonlinear compartment model has been developed for the awareness of media coverage on controlling and prevention of infectious diseases, namely HIV/AIDS and TB within a population of varying size. The population has been divided into four sub-classes of susceptible, TB infected, HIV infected and AIDS patients. Using the stability analysis, the model has been studied quantitatively by taking small perturbation about equilibrium points. The developed mathematical model shows four equilibrium points, namely disease free, population free from HIV/AIDS, population free from TB and co-infection equilibrium point. It has been shown that the co-infection equilibrium point is always locally stable. The concept of the basic reproduction number has also been introduced in the model. It is predicted that the disease dies out if a reproduction number is less than unity and it becomes endemic if it is greater than unity. [ABSTRACT FROM AUTHOR] |
Databáze: |
Complementary Index |
Externí odkaz: |
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