Predictions of Relative Risks for Dengue Disease Mapping in Malaysia Based on Stochastic SIR-SI Vector-Borne Infectious Disease Transmission Model

International audience Wir studieren die Wahrscheinlichkeit des Aussterbens eines linearen Geburts- und Todesprozesses mit mehreren Typen in einer periodischen Umgebung, wenn die Periode groß ist. Diese Wahrscheinlichkeit hängt von der Jahreszeit ab und zeigt eine Diskontinuität im Zusammenhang mit einem "Canard" in einem langsam-schnellen dynamischen System. Der Diskontinuitätspunkt wird in einem Beispiel mit zwei Typen genau bestimmt. Dieses Beispiel kommt von einem Modell für eine Krankheit, die durch Vektoren übertragen wird. We study the probability of extinction of a population modelled by a linear birth-and-death process with several types in a periodic environment when the period is large compared to other time scales. This probability depends on the season and may present a sharp jump in relation to a "canard" in a slow-fast dynamical system. The point of discontinuity is determined precisely in an example with two types of individuals related to a vector-borne disease transmission model. On s'intéresse à la probabilité d'extinction d'un processus linéaire de naissance et de mort avec plusieurs types dans un environnement périodique dans la limite d'une période très grande. Cette probabilité dépend de la saison et peut présenter à la limite une discontinuité en lien avec un canard dans un système dynamique lent-rapide. On détermine précisément le point de discontinuité dans un exemple avec deux types d'individus provenant d'un modèle de transmission d'une maladie à vecteurs.

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Dynamic consistent non-standard numerical scheme for a dengue disease transmission model

The Journal of Difference Equations and Applications ◽

10.1080/10236198.2013.858715 ◽

2013 ◽

Vol 20 (3) ◽

pp. 492-505 ◽

Cited By ~ 13

Author(s):

Deqiong Ding ◽

Xiaohua Ding

Keyword(s):

Disease Transmission ◽

Numerical Scheme ◽

Transmission Model ◽

Dengue Disease ◽

Disease Transmission Model

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A disease transmission model based on individual cognition

International Journal of Modern Physics B ◽

10.1142/s0217979220503233 ◽

2020 ◽

Vol 34 (32) ◽

pp. 2050323

Author(s):

Fuzhong Nian ◽

Yayong Shi ◽

Zhongkai Dang

Keyword(s):

Infectious Disease ◽

Disease Transmission ◽

Transmission Rate ◽

Small World ◽

Transmission Model ◽

Model Based ◽

Individual Cognition ◽

Disease Transmission Model ◽

The Impact ◽

Transmission Of Disease

Recently, the study about the disease transmission has received widespread attention. In the dynamics process of infectious disease, individual’s cognition about disease-related knowledge is an important factor that controls disease transmission. The disease-related information includes the cause, symptoms, transmission route and so on. Disease-related knowledge would influence the individual’s attitude toward disease, and influence the transmission rate and scale of the infectious disease. In order to study the impact of individual cognition on the transmission of disease, the disease transmission model based on individual cognition is proposed in this paper. Based on this model, we numerically simulate the transmission of disease in the small-world network and the BA scale-free network, respectively, and analyze the transmission dynamics behavior of the infectious disease. The simulation experiment verifies the validity of the theoretical result, which shows that this model is closer to the reality than traditional models.

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