The dynamical behaviors of the multi-lingual SIR rumor spreading model are investigated in
this paper. In view of the actual background, we consider the rumor spreading under the …

Most rumors in social networks are extremely harmful and have a significant negative impact
on social welfare. Therefore, exploring the laws of rumor propagation has been one of the …

To study the consumption of heroin in a heterogeneous environment, we propose and
analyze a spatiotemporal model with a distributed delay. Using the spectral theory, we …

In this paper, a reaction–diffusion multi-group SIR epidemic model with nonlinear incidence
in spatially heterogeneous and homogeneous environment is investigated. In general …

We use an age-dependent SIR system of equations to model the evolution of the COVID-19.
Parameters that measure the amount of interaction in different locations (home, work …

Based on a susceptible-infected-susceptible patch model, we study the influence of
dispersal on the disease prevalence of an individual patch and all patches at the endemic …

Mathematical epidemiology has a long history of origin and development. In particular,
mathematical modeling and analysis of infectious diseases has become a fundamental and …

This research is concerned to study the global threshold dynamics of a hybrid viral infection
model, with the assumption that all parameters are space dependent. The considered hybrid …

We propose a generalization of a model with age of infection in a heterogeneous
environment. Firstly, we give the well‐posedness of the model and prove that the solutions …

In this paper, we study an SIS (susceptible–infected–susceptible) epidemic model with mass
action infection mechanism in a patchy environment. We first analyze the long‐time …