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 t...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.展开更多
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 de...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.展开更多
This article focuses on the study of an age structured SEIRS epidemic model with a vaccination program when the total population size is not kept at constant. We first give the explicit expression of the reproduction ...This article focuses on the study of an age structured SEIRS epidemic model with a vaccination program when the total population size is not kept at constant. We first give the explicit expression of the reproduction number in the presence of vaccine ( is the exponent of growth of total population), and show that the infection-free steady state is linearly stable if and unstable if , then we apply the theoretical results to vaccination policies to determine the optimal age or ages at which an individual should be vaccinated. It is shown that the optimal strategy can be either one- or two-age strategies.展开更多
This paper aims to study the global stability of an Ebola virus epidemic model.Although this epidemic ended in September 2015,it devastated several West African countries and mobilized the international community.With...This paper aims to study the global stability of an Ebola virus epidemic model.Although this epidemic ended in September 2015,it devastated several West African countries and mobilized the international community.With the recent cases of Ebola in the Democratic Republic of the Congo(DRC),the threat of the reappearance of this fatal disease remains.Therefore,we are obligated to be prepared for a possible re-emerging of the disease.In 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.展开更多
基金supported by NNSF of China(11201075)FPNSFC(2016J01015)
文摘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.
基金Supported by National Natural Science Foundation of China under Grant Nos.11275017 and 11173028
文摘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.
基金Supported by the NSFC (No.10371105) and the NSF of Henan Province (No.0312002000No.0211044800)
文摘This article focuses on the study of an age structured SEIRS epidemic model with a vaccination program when the total population size is not kept at constant. We first give the explicit expression of the reproduction number in the presence of vaccine ( is the exponent of growth of total population), and show that the infection-free steady state is linearly stable if and unstable if , then we apply the theoretical results to vaccination policies to determine the optimal age or ages at which an individual should be vaccinated. It is shown that the optimal strategy can be either one- or two-age strategies.
文摘This paper aims to study the global stability of an Ebola virus epidemic model.Although this epidemic ended in September 2015,it devastated several West African countries and mobilized the international community.With the recent cases of Ebola in the Democratic Republic of the Congo(DRC),the threat of the reappearance of this fatal disease remains.Therefore,we are obligated to be prepared for a possible re-emerging of the disease.In 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.
