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 Copyright policy )doi: 10.3934/mbe.2020225
pmid: 32987568
<abstract> <p>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.</p> </abstract>
Incidence, Basic Reproduction Number, Models, Biological, global stability, the basic reproduction number, epidemic model, Ticks, Tick-Borne Diseases, QA1-939, piecewise constant argument of generalized type, Animals, lyapunov functions, TP248.13-248.65, Mathematics, Biotechnology
Incidence, Basic Reproduction Number, Models, Biological, global stability, the basic reproduction number, epidemic model, Ticks, Tick-Borne Diseases, QA1-939, piecewise constant argument of generalized type, Animals, lyapunov functions, TP248.13-248.65, Mathematics, Biotechnology
| citations This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically). | 11 | |
| popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network. | Top 10% | |
| influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically). | Average | |
| impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network. | Top 10% | 
