scholarly journals A two-group age of infection epidemic model with periodic behavioral changes

2020 ◽  
Vol 25 (6) ◽  
pp. 2057-2092 ◽  
Author(s):  
Mamadou L. Diagne ◽  
◽  
Ousmane Seydi ◽  
Aissata A. B. Sy ◽  
2012 ◽  
Vol 385 (2) ◽  
pp. 655-671 ◽  
Author(s):  
Jun-Yuan Yang ◽  
Xue-Zhi Li ◽  
Maia Martcheva

2020 ◽  
Author(s):  
Bruno Buonomo ◽  
Rossella Della Marca

AbstractThe COVID–19 pandemic started in January 2020 has not only threatened world public health, but severely impacted almost every facet of lives including behavioral and psychological aspects. In this paper we focus on the ‘human element’ and propose a mathematical model to investigate the effects on the COVID–19 epidemic of social behavioral changes in response to lockdowns. We consider a SEIR-like epidemic model where that contact and quarantine rates are assumed to depend on the available information and rumors about the disease status in the community. The model is applied to the case of COVID–19 epidemic in Italy. We consider the period that stretches between Bebruary 24, 2020 when the first bulletin by the Italian Civil Brotection was reported and May 18, 2020 when the lockdown restrictions have been mostly removed. The role played by the information–related parameters is determined by evaluating how they affect suitable outbreak–severity indicators. We estimated that citizens compliance with mitigation measures played a decisive role in curbing the epidemic curve by preventing a duplication of deaths and about 46% more contagions.Subject class: 92D30, 34C60


2009 ◽  
Vol 02 (01) ◽  
pp. 61-67 ◽  
Author(s):  
JUN-YUAN YANG ◽  
FENG-QIN ZHANG ◽  
XIAO-YAN WANG

accination is a very important strategy for the elimination of infectious diseases. An SIV epidemic model with age of infection and vaccination has been formulated in this paper. Using the theory of differential and integral equation, we show that the infection-free equilibrium is locally asymptotically stable if the reproductive number R0 < 1, and the endemic equilibrium is locally asymptotically stable if R0 > 1.


2021 ◽  
Vol 0 (0) ◽  
pp. 0
Author(s):  
Eleonora Messina ◽  
Mario Pezzella ◽  
Antonia Vecchio

<p style='text-indent:20px;'>We propose a numerical method for approximating integro-differential equations arising in age-of-infection epidemic models. The method is based on a non-standard finite differences approximation of the integral term appearing in the equation. The study of convergence properties and the analysis of the qualitative behavior of the numerical solution show that it preserves all the basic properties of the continuous model with no restrictive conditions on the step-length <inline-formula><tex-math id="M1">\begin{document}$ h $\end{document}</tex-math></inline-formula> of integration and that it recovers the continuous dynamic as <inline-formula><tex-math id="M2">\begin{document}$ h $\end{document}</tex-math></inline-formula> tends to zero.</p>


2018 ◽  
Vol 41 ◽  
pp. 692-705 ◽  
Author(s):  
W.E. Fitzgibbon ◽  
J.J. Morgan ◽  
Glenn F. Webb ◽  
Yixiang Wu

2017 ◽  
Vol 14 (5/6) ◽  
pp. 1159-1186 ◽  
Author(s):  
Yan-Xia Dang ◽  
Zhi-Peng Qiu ◽  
Xue-Zhi Li ◽  
Maia Martcheva

1977 ◽  
Vol 8 (4) ◽  
pp. 256-263
Author(s):  
Roberta Chapey ◽  
Geraldine Chapey

Occasionally, it is the responsibility of a supervisor to help a staff speech clinician resolve professional and or personal problems that interfere with the delivery of quality services. To deal with this situation, the supervisor must be equipped with the techniques and procedures for effective organizational communication. This article presents a case study in which a speech clinician demonstrated irresponsibility in various job areas. The supervisor’s philosophy and the procedures used in managing these problems are presented. The behavioral changes suggest that the supervisor’s interventive procedures were clinically significant and warrant further investigation.


2006 ◽  
Vol 19 (1) ◽  
pp. 45-51 ◽  
Author(s):  
Myriam Juda ◽  
Mirjam Münch ◽  
Anna Wirz-Justice ◽  
Martha Merrow ◽  
Till Roenneberg

Abstract: Among many other changes, older age is characterized by advanced sleep-wake cycles, changes in the amplitude of various circadian rhythms, as well as reduced entrainment to zeitgebers. These features reveal themselves through early morning awakenings, sleep difficulties at night, and a re-emergence of daytime napping. This review summarizes the observations concerning the biological clock and sleep in the elderly and discusses the documented and theoretical considerations behind these age-related behavioral changes, especially with respect to circadian biology.


Sign in / Sign up

Export Citation Format

Share Document