2020
DOI: 10.1007/s10440-020-00369-z
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Global Dynamics of an SEIR Model with Two Age Structures and a Nonlinear Incidence

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Cited by 50 publications
(21 citation statements)
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“…Understanding and predicting natural phenomenon is one of the powerful tools used by human for predicting and avoiding many worst scenarios in the recent few decades. Indeed, mathematics proved its usefulness in this regards, which it can be seen through the huge involvement in the recent scientific fields, as physics [1] , ecology [2] , [3] , and epidemiology [4] , [16] , [5] , [17] , [6] , [18] , [7] .…”
Section: Introductionmentioning
confidence: 99%
“…Understanding and predicting natural phenomenon is one of the powerful tools used by human for predicting and avoiding many worst scenarios in the recent few decades. Indeed, mathematics proved its usefulness in this regards, which it can be seen through the huge involvement in the recent scientific fields, as physics [1] , ecology [2] , [3] , and epidemiology [4] , [16] , [5] , [17] , [6] , [18] , [7] .…”
Section: Introductionmentioning
confidence: 99%
“…Mathematical modeling in epidemiology using nonlinear dynamical system has played a significant role to understand the mechanism and to obtain insight on control of diseases [14,[16][17][18][19]. Nonlinear dynamics is often used to study age-dependent disease models with nonlinear incidence rate [20][21][22]. Apart from epidemiology, dynamical behavior of various age-structured model like drug abuse model, alcoholism model are studied with the help of nonlinear dynamics [23,24].…”
Section: Introductionmentioning
confidence: 99%
“…In the ergodic case where θ < 0, several works, such as [11,12] and the references therein, have focused on the statistical estimation of the parameter θ. Furthermore, in the non-ergodic scenario corresponding to θ > 0, the estimation of parameter θ has been explored using the least squares method, as can be seen in [8,[13][14][15][16][17] and its references.…”
Section: Introductionmentioning
confidence: 99%