Steady States in SIRS Epidemical Model of Mobile Individuals |
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Authors: | ZHANG Duan-Ming HE Min-Hua YU Xiao-Ling PAN Gui-Jun SUN Hong-Zhang SU Xiang-Ying SUN Fan YIN Yan-Ping LI Rui LIU Dan |
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Institution: | Department of Physics, Huazhong University of Science
and Technology, Wuhan 430074, China |
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Abstract: | We consider an epidemical model within socially interacting mobile individuals to study the behaviors of steady states of epidemic propagation in 2D networks. Using mean-field approximation and
large scale simulations, we recover the usual epidemic behavior with
critical thresholds δc and pc below which infectious disease dies out. For the population density δ far above δc, it is found that there is linear relationship between contact rate λ and the population density δ in the main. At the same time, the result
obtained from mean-field approximation is compared with our numerical
result, and it is found that these two results are similar by and
large but not completely the same. |
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Keywords: | small world epidemical model mobile individual mean-field equation |
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