Dynamics of epidemics in homogeneous/heterogeneous populations and the spreading of multiple inter-related infectious diseases: Constant-sign periodic solutions for the discrete model期刊界 All Journals 搜尽天下杂志传播学术成果专业期刊搜索期刊信息化学术搜索

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Dynamics of epidemics in homogeneous/heterogeneous populations and the spreading of multiple inter-related infectious diseases: Constant-sign periodic solutions for the discrete model

Institution:	1. School of Mathematics and Statistics, Key Laboratory of Applied Statistics of MOE, Northeast Normal University, Changchun, Jilin 130024, PR China;2. Nonlinear Analysis and Applied Mathematics (NAAM)-Research Group, King Abdulaziz University, Jeddah, Saudi Arabia;3. College of Science, China University of Petroleum, Qingdao, Shandong 266580, PR China;4. Department of Mathematics, Quaid-i-Azam University, 45320, Islamabad 44000, Pakistan;1. School of Mathematics, Southeast University, Nanjing 210096, PR China;2. Institute for Social and Economic Research and Policy, Columbia University, New York 10027, USA

Abstract:	We consider the following model that describes the dynamics of epidemics in homogeneous/heterogeneous populations as well as the spreading of multiple inter-related infectious diseases: $u_{i} (k) = \sum_{? = k - τ_{i}}^{k - 1} g_{i} (k, ?) f_{i} (?, u_{1} (?), u_{2} (?), \dots, u_{n} (?)), k \in Z, 1 ? i ? n .$ Our aim is to establish criteria such that the above system has one or multiple constant-sign periodic solutions $(u_{1}, u_{2}, \dots, u_{n})$ , i.e., for each $1 ? i ? n$ , $u_{i}$ is periodic and $θ_{i} u_{i} ? 0$ where $θ_{i} \in {1,- 1}$ is fixed. Examples are also included to illustrate the results obtained.

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