In this paper, a vegetation–water model with saturated water absorption is considered. The
global stability of boundary equilibrium is first obtained. Then the stability and Turing …

In this paper, a diffusive vegetation-water model under Neumann boundary conditions is
considered. Firstly, the stability and the diffusion-induced Turing instability are studied. Then …

Vegetation patterns can reflect vegetation's spatial distribution in space and time. The
saturated water absorption effect between the soil–water and vegetation plays a crucial role …

In this paper, we analyze how vegetation patterns occur in arid and semi-arid ecosystems
with different types of grazing, using both modelling approaches and mathematical analysis …

This paper is devoted to a mathematical model with diffusion and cross-diffusion to describe
the interaction between vegetation and soil water. First, the existence of Hopf bifurcation and …

In semiarid areas, the positive feedback effect of vegetation and soil moisture plays an
indispensable role in the water absorption process of plant roots. In addition, vegetation can …

In semi-arid regions, the positive feedback effect of vegetation and soil moisture plays an
indispensable role in the process of water absorption by vegetation roots, and vegetation …

Under the violated crossing condition, a degenerate Hopf bifurcation in ODE is generalized
to an abstract evolution equation, and a degenerate steady-state bifurcation is established in …

A diffusive phytoplankton–zooplankton–fish model with toxin and Crowley–Martin functional
response is considered. By the global bifurcation theorem and the fixed point index theory …

This paper is concerned with a spatial S− I epidemic model with nonlinear incidence rate.
First, the existence of the equilibrium is discussed in different conditions. Then the main …