| Issue |
Math. Model. Nat. Phenom.
Volume 15, 2020
Growth phenomena
|
|
|---|---|---|
| Article Number | 6 | |
| Number of page(s) | 14 | |
| DOI | https://doi.org/10.1051/mmnp/2019056 | |
| Published online | 17 February 2020 | |
On mathematical modelling of temporal spatial spread of epidemics*,**
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.
*** Corresponding author: This email address is being protected from spambots. You need JavaScript enabled to view it.
Received:
11
July
2019
Accepted:
25
November
2019
Abstract
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.
Mathematics Subject Classification: 92Bxx / 45Gxx
Key words: Epidemics / threshold condition / nonlinear integral equation / existence and uniqueness
The first and the third authors thank the GKN MON RA for the support in the framework of the project No SCS 18T-1A004.
The authors are indebted to the referees for their valuable suggestions and a careful reading of the paper.
© EDP Sciences, 2020
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