GLOBAL DYNAMICS OF TICK-BORNE DISEASES

Kashkynbayev, Ardak; Koptleuova, Daiana

Система будет остановлена для регулярного обслуживания. Пожалуйста, сохраните рабочие данные и выйдите из системы.

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