A SIMPLE SIS PATCH MODEL WITH TIME DELAY DUE TO MIGRATION AMONG ONLINE SOCIAL NETWORK COMMUNITIES
Like the real-world, social network communities have come into existence very fast. These communities have become a common platform for users to share their ideas and opinions on any of the issues. There are a number of online virtual communities with a wide range of their users. Since there may be millions of users of a particular community with different prospects and interests, the migration of the users between the communities becomes a common phenomenon. Hence time delay in migration affects the epidemic outbreak significantly. In this paper, we have considered the simple SIS patch model for two communities of social networks with time delay due to migration between patches. The expression for basic reproduction number has been driven which impacts the stability of the model at infection-free equilibrium. Also, we discussed the global stability of the model at endemic equilibrium. Finally, with the help of numerical examples, we have tried to understand the stability of the model with the impact of the delay on that.
social network communities, delay differential equation, stability analysis, numerical solution.
Received: May 30, 2021; Accepted: July 17, 2021; Published: April 27, 2021
How to cite this article: Nitesh Narayan, Rishi Kumar Jha and Anshuman Singh, A simple sis patch model with time delay due to migration among online social network communities, Advances in Differential Equations and Control Processes 25(1) (2021), 11-25. DOI: 10.17654/DE025010011
This Open Access Article is Licensed under Creative Commons Attribution 4.0 International License
References:
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