| Title:
|
A non-linear discrete-time dynamical system related to epidemic SISI model (English) |
| Author:
|
Shoyimardonov, Sobirjon K. |
| Language:
|
English |
| Journal:
|
Communications in Mathematics |
| ISSN:
|
1804-1388 (print) |
| ISSN:
|
2336-1298 (online) |
| Volume:
|
29 |
| Issue:
|
3 |
| Year:
|
2021 |
| Pages:
|
505-525 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
We consider SISI epidemic model with discrete-time. The crucial point of this model is that an individual can be infected twice. This non-linear evolution operator depends on seven parameters and we assume that the population size under consideration is constant, so death rate is the same with birth rate per unit time. Reducing to quadratic stochastic operator (QSO) we study the dynamical system of the SISI model. (English) |
| Keyword:
|
Quadratic stochastic operator |
| Keyword:
|
fixed point |
| Keyword:
|
discrete-time |
| Keyword:
|
SISI model |
| Keyword:
|
epidemic |
| MSC:
|
37C15 |
| MSC:
|
37C25 |
| MSC:
|
37N25 |
| idZBL:
|
Zbl 07484384 |
| idMR:
|
MR4355425 |
| . |
| Date available:
|
2022-01-10T10:12:47Z |
| Last updated:
|
2022-04-28 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/149333 |
| . |
| Reference:
|
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| Reference:
|
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| Reference:
|
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| Reference:
|
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| Reference:
|
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| Reference:
|
[6] Rozikov, U.A., Shoyimardonov, S.K.: Leslie's prey-predator model in discrete time.Inter. Jour. Biomath, 13, 6, 2020, 2050053, MR 4146966 |
| Reference:
|
[7] Rozikov, U.A., Shoyimardonov, S.K.: Ocean ecosystem discrete time dynamics generated by l-Volterra operators.Inter. Jour. Biomath., 12, 2, 2019, 24 pp, MR 3923067 |
| Reference:
|
[8] Rozikov, U.A., Shoyimardonov, S.K., R.Varro: Planktons discrete-time dynamical systems.Nonlinear Studies, 28, 2, 2021, MR 4318135 |
| . |
