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## Analysis of an Epidemic Spreading Model with Exponential Decay Law

#### Mehmet YAVUZ [1] , Necati ÖZDEMİR [2]

Mathematical modeling of infectious diseases has shown that combinations of isolation, quarantine, vaccine, and treatment are often necessary in order to eliminate most infectious diseases. Continuous mathematical models have been used to study the dynamics of infectious diseases within a human host and in the population. We have used in this study a SIR model that categorizes individuals in a population as susceptible (S), infected (I) and recovered (R). It also simulates the transmission dynamics of diseases where individuals acquire permanent immunity. We have considered the SIR model using the Caputo-Fabrizio and we have obtained special solutions and numerical simulations using an iterative scheme with Laplace transform. Moreover, we have studied the uniqueness and existence of the solutions
epidemic model, exponential law, numerical simulation, fractional derivative, non-singularity
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Primary Language en Engineering Articles Author: Mehmet YAVUZ Institution: Necmettin Erbakan UniversityCountry: Turkey Author: Necati ÖZDEMİR Institution: BALIKESIR UNIVERSITYCountry: Turkey Publication Date : March 20, 2020
 Bibtex @research article { mathenot691638, journal = {Mathematical Sciences and Applications E-Notes}, issn = {}, eissn = {2147-6268}, address = {}, publisher = {Murat TOSUN}, year = {2020}, volume = {8}, pages = {142 - 154}, doi = {10.36753/mathenot.691638}, title = {Analysis of an Epidemic Spreading Model with Exponential Decay Law}, key = {cite}, author = {Yavuz, Mehmet and Özdemi̇r, Necati} } APA Yavuz, M , Özdemi̇r, N . (2020). Analysis of an Epidemic Spreading Model with Exponential Decay Law . Mathematical Sciences and Applications E-Notes , 8 (1) , 142-154 . DOI: 10.36753/mathenot.691638 MLA Yavuz, M , Özdemi̇r, N . "Analysis of an Epidemic Spreading Model with Exponential Decay Law" . Mathematical Sciences and Applications E-Notes 8 (2020 ): 142-154 Chicago Yavuz, M , Özdemi̇r, N . "Analysis of an Epidemic Spreading Model with Exponential Decay Law". Mathematical Sciences and Applications E-Notes 8 (2020 ): 142-154 RIS TY - JOUR T1 - Analysis of an Epidemic Spreading Model with Exponential Decay Law AU - Mehmet Yavuz , Necati Özdemi̇r Y1 - 2020 PY - 2020 N1 - doi: 10.36753/mathenot.691638 DO - 10.36753/mathenot.691638 T2 - Mathematical Sciences and Applications E-Notes JF - Journal JO - JOR SP - 142 EP - 154 VL - 8 IS - 1 SN - -2147-6268 M3 - doi: 10.36753/mathenot.691638 UR - https://doi.org/10.36753/mathenot.691638 Y2 - 2020 ER - EndNote %0 Mathematical Sciences and Applications E-Notes Analysis of an Epidemic Spreading Model with Exponential Decay Law %A Mehmet Yavuz , Necati Özdemi̇r %T Analysis of an Epidemic Spreading Model with Exponential Decay Law %D 2020 %J Mathematical Sciences and Applications E-Notes %P -2147-6268 %V 8 %N 1 %R doi: 10.36753/mathenot.691638 %U 10.36753/mathenot.691638 ISNAD Yavuz, Mehmet , Özdemi̇r, Necati . "Analysis of an Epidemic Spreading Model with Exponential Decay Law". Mathematical Sciences and Applications E-Notes 8 / 1 (March 2020): 142-154 . https://doi.org/10.36753/mathenot.691638 AMA Yavuz M , Özdemi̇r N . Analysis of an Epidemic Spreading Model with Exponential Decay Law. Math. Sci. Appl. E-Notes. 2020; 8(1): 142-154. Vancouver Yavuz M , Özdemi̇r N . Analysis of an Epidemic Spreading Model with Exponential Decay Law. Mathematical Sciences and Applications E-Notes. 2020; 8(1): 142-154. IEEE M. Yavuz and N. Özdemi̇r , "Analysis of an Epidemic Spreading Model with Exponential Decay Law", Mathematical Sciences and Applications E-Notes, vol. 8, no. 1, pp. 142-154, Mar. 2020, doi:10.36753/mathenot.691638

Authors of the Article
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