In this paper, the main biological aspects of infectious diseases and their mathematical
translation for modeling their transmission dynamics are revised. In particular, some …

In this paper, a homogeneous-mixing population fractional model for human
immunodeficiency virus (HIV) transmission, which incorporates anti-HIV preventive …

In this work, we investigate the transmission dynamics of pine wilt disease infection and
developed a new model utilizing Caputo fractional-order derivative. Moreover, with the use …

In this letter, a discrete SIS (susceptible–infected–susceptible) epidemic model on complex
networks is presented. Firstly, the non-negativity and the boundedness of solutions are …

Nowadays, information spreading on social networks has triggered an explosive attention in
various disciplines. Most of previous works in this area mainly focus on discussing the …

Background Animal trade plays an important role for the spread of infectious diseases in
livestock populations. The central question of this work is how infectious diseases can …

Various infectious diseases primarily contain the characteristics of memory and non-locality.
Keeping this in view; we have, in the present paper, proposed a new epidemiological …

This book introduces advanced mathematical methods and techniques for analysis and
simulation of models in mathematical epidemiology. Chronological age and class-age play …

A Caputo–Fabrizio type fractional order mathematical model for the dynamics of pine wilt
disease (FPWD) is presented. The basic properties of the model are investigated. The …

For some epidemic diseases, there exist several strains of the pathogen, which can pose a
challenge in controlling the disease and result in complicated dynamics, such as dengue …