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ANALYSIS OF A SUSCEPTIBLE-EXPOSEDINFECTED EPIDEMIC MODEL WITH RANDOM PERTURBATION AND varying population size

Annals of Applied Mathematics 2017年第2期33卷 130-138页

作者： Lihong Chen Fengying Wei College of Math.and Computer Science Fuzhou University

In this paper, we study a type of susceptible-exposed-infected（SEI） epidemic model with varying population size and introduce the random perturbation of the constant contact rate into the SEI epidemic model due to the universal existence of fluctuations. Under some moderate conditions, the density of the exposed and the infected individuals exponentially approaches zero almost surely are derived. Furthermore, the stochastic SEI epidemic model admits a stationary distribution around the endemic equilibrium, and the solution is ergodic. Some numerical simulations are carried out to demonstrate the efficiency of the main results.

关键词： varying population size random perturbation SEI epidemic model stationary distribution

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SEIR Model of Rumor Spreading in Online Social Network with varying Total population size

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Communications in Theoretical Physics 2017年第10期67卷 545-552页

作者：董苏雅拉图邓燕斌黄永畅 College of Applied Sciences Beijing University of Technology

Based on the infectious disease model with disease latency, this paper proposes a new model for the rumor spreading process in online social network. In this paper what we establish an SEIR rumor spreading model to describe the online social network with varying total number of users and user deactivation rate. We calculate the exact equilibrium points and reproduction number for this model. Furthermore, we perform the rumor spreading process in the online social network with increasing population size based on the original real world Facebook network. The simulation results indicate that the SEIR model of rumor spreading in online social network with changing total number of users can accurately reveal the inherent characteristics of rumor spreading process in online social network.

关键词： online social network rumor spreading model equilibrium point varying population size

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Cooperative system analysis of the Ebola virus epidemic model

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Infectious Disease Modelling 2018年第1期3卷 145-159页

作者： Karima Kabli Soumia El Moujaddid Khadija Niri Abdessamad Tridane Department of Mathematics and Computing Ain Chock Science FacultyHassan II UniversityCasablancaMorocco Department of Mathematical Sciences United Arab Emirates UniversityP.O.Box 15551Al AinUnited Arab Emirates

This paper aims to study the global stability of an Ebola virus epidemic *** this epidemic ended in September 2015,it devastated several West African countries and mobilized the international *** the recent cases of Ebola in the Democratic Republic of the Congo(DRC),the threat of the reappearance of this fatal disease ***,we are obligated to be prepared for a possible re-emerging of the *** this work,we investigate the global stability analysis via the theory of cooperative systems,and we determine the conditions that lead to global stability diseases free and endemic equilibrium.

关键词： Ebola virus Basic reproduction number Cooperative systems Global stability varying population size

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