This paper proposes a new definition of fractional derivative with non-singular kernel in the
sense of Caputo which generalizes various forms existing in the literature. Furthermore, the …

In this research, we are interested in predicting the epidemic peak outbreak of the
Coronavirus in South Africa, Turkey, and Brazil. Until now, there is no known safe treatment …

In recent decades, studying the behavior of biological species has become one of the most
fascinating areas of applied mathematics. The high importance of conservation of rare …

This manuscript aims to consider a variety of fractional predator-prey models in the presence
of an infection developed in the predator population. The crowding behavior plays an …

Mathematical modeling has always been one of the most potent tools in predicting the
behavior of dynamic systems in biology. In this regard, we aim to study a three-species prey …

In this article, we examine a computational model to explore the prevalence of a viral
infectious disease, namely hand-foot-mouth disease, which is more common in infants and …

In this research, we discuss the influence of an infectious disease in the evolution of
ecological species. A computational predator-prey model of fractional order is considered …

This paper investigates a diverse collection of exact solutions to a high-order nonlinear
Schrödinger equation, called the Sasa-Satsuma equation. These results are obtained for …

During past decades, the study of the interaction between predator and prey species has
become one of the most exciting topics in computational biology and mathematical ecology …

Mathematical modeling will allow us to make effective interventions by policy makers and
determine a specific program for the country's health managers. In recent years, applications …