Geodesic
On mathematical modelling of temporal spatial spread of epidemics
Kh.A. Khachatryan1 ; A.Zh. Narimanyan2 ; A.Kh. Khachatryan3
1 Institute of Mathematics of National Academy of Sciences, Yerevan, Armenia.
2 Department of Mathematics and Computer Science, University of Bremen, Germany.
3 Department of Mathematics, Armenian National Agrarian University, Yerevan, Armenia.
Mathematical modelling of natural phenomena, Tome 15 (2020), article no. 6.

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In the present work a generalized epidemic model containing a system of integral-differential equations is described. Using different transformations the system is reduced to a single nonlinear multidimensional integral equation. For the obtained equation the existence and uniqueness results are proved. Based on theoretical convergence results several application examples are presented with corresponding numerical results.
DOI : 10.1051/mmnp/2019056

Kh.A. Khachatryan 1 ; A.Zh. Narimanyan 2 ; A.Kh. Khachatryan 3

1 Institute of Mathematics of National Academy of Sciences, Yerevan, Armenia.
2 Department of Mathematics and Computer Science, University of Bremen, Germany.
3 Department of Mathematics, Armenian National Agrarian University, Yerevan, Armenia. 
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Kh.A. Khachatryan; A.Zh. Narimanyan; A.Kh. Khachatryan. On mathematical modelling of temporal spatial spread of epidemics. Mathematical modelling of natural phenomena, Tome 15 (2020), article  no. 6. doi : 10.1051/mmnp/2019056. http://geodesic.mathdoc.fr/articles/10.1051/mmnp/2019056/

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