Nonlocal infection plays an important role in epidemic spread, which can reflect the real
rules of infectious disease. To understand its mechanism on disease transmission, we …

Vegetation pattern is caused by local instability in phase space, which can reflect the
distribution characteristics of vegetation in the studied space. In semi-arid environment, the …

Consider the heterogeneity (eg, heterogeneous social behaviour, heterogeneity due to
different geography, contrasting contact patterns and different numbers of sexual partners …

In this paper, we consider an SI epidemic model incorporating additive Allee effect and time
delay. The primary purpose of this paper is to study the dynamics of the above system …

Vegetation patterns can reflect the spatial distribution of vegetation in both space and time.
In semi-arid regions, the absorption of water by vegetation is a nonlocal process meaning …

This work studies the SIS model extended by fractional and fractal derivatives. We obtain
explicit solutions for the standard and fractal formulations; for the fractional case, we study …

In this paper, we formulate two different network-based epidemic models to investigate the
effect of partly effective treatment on disease dynamics. The first network model represents …

In this paper we introduce a method of global exponential attractor in the reaction-diffusion
epidemic model in spatial heterogeneous environment to study the spread trend and long …

Taking into account the spatial flow and relapse behaviors, this paper establishes a network-
organized reaction-diffusion system for disease spreading with Laplacian matrices. In this …

Dispersal-induced pattern formation is important from both fundamental and application
points of view. Spatial pattern in an ecological system can strongly depend on exogenous …