التفاصيل البيبلوغرافية
| العنوان: |
Bifurcation and Stability of a Discrete-time SIS Epidemic Model with Treatment. |
| المؤلفون: |
AK GUMUS, Ozlem1, SELVAM, George Maria2 agmshc@gmail.com, RAJENDRAN, Janagaraj3 |
| المصدر: |
Gazi University Journal of Science. 2024, Vol. 37 Issue 4, p1928-1944. 17p. |
| مصطلحات موضوعية: |
*CONTINUOUS time models, *INFECTIOUS disease transmission, *MATHEMATICAL models, *PREVENTIVE medicine, *EPIDEMICS |
| مستخلص: |
The mathematical dynamics are suitable in examining the effect of infective populations. Conditions involving the spread and control of the disease are calculated by analyzing mathematical models so that it is possible to have information about the behavior of the infection. This article includes the dynamics of a discrete SIS endemic model thru treatment. After determining that the fixed point conditions are fulfilled, the stability analysis is completed for those fixed points. The derived endemic fixed point's stability and bifurcation conditions are examined. Depending on the infection coefficient, the flip bifurcation condition is obtained. At the same time, it is determined in which situation Neimark-sacker bifurcation (NSB) may occur depending on the step size, and bifurcation is controlled. Our theoretical findings are supported by a rich dynamical nature. [ABSTRACT FROM AUTHOR] |
| قاعدة البيانات: |
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