dc.contributor.author | Kashkynbayev, Ardak | |
dc.contributor.author | Koptleuova, Daiana | |
dc.date.accessioned | 2021-07-02T06:12:25Z | |
dc.date.available | 2021-07-02T06:12:25Z | |
dc.date.issued | 2020-06-05 | |
dc.identifier.citation | Kashkynbayev, A., & Koptleuova, D. (2020). Global dynamics of tick-borne diseases. Mathematical Biosciences and Engineering, 17(4), 4064–4079. https://doi.org/10.3934/mbe.2020225 | en_US |
dc.identifier.issn | 1547-1063 | |
dc.identifier.uri | https://doi.org/10.3934/mbe.2020225 | |
dc.identifier.uri | http://www.aimspress.com/article/10.3934/mbe.2020225 | |
dc.identifier.uri | http://nur.nu.edu.kz/handle/123456789/5514 | |
dc.description.abstract | A tick-borne disease model is considered with nonlinear incidence rate and piecewise constant delay of generalized type. It is known that the tick-borne diseases have their peak during certain periods due to the life cycle of ticks. Only adult ticks can bite and transmit disease. Thus, we use a piecewise constant delay to model this phenomena. The global asymptotic stability of the disease-free and endemic equilibrium is shown by constructing suitable Lyapunov functions and Lyapunov-LaSalle technique. The theoretical findings are illustrated through numerical simulations. | en_US |
dc.language.iso | en | en_US |
dc.publisher | AIMS Press | en_US |
dc.relation.ispartofseries | Mathematical Biosciences and Engineering (MBE);17(4): 4064–4079 | |
dc.rights | Attribution-NonCommercial-ShareAlike 3.0 United States | * |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-sa/3.0/us/ | * |
dc.subject | epidemic model | en_US |
dc.subject | the basic reproduction number | en_US |
dc.subject | piecewise constant argument of generalized type | en_US |
dc.subject | Lyapunov functions | en_US |
dc.subject | global stability | en_US |
dc.subject | Research Subject Categories::MATHEMATICS | en_US |
dc.subject | Type of access: Open Access | en_US |
dc.title | GLOBAL DYNAMICS OF TICK-BORNE DISEASES | en_US |
dc.type | Article | en_US |
workflow.import.source | science |
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