Abstract
This paper is devoted to study patterns and dynamics in the diffusive minimal sediment model. Firstly, we analyze nonnegative constant equilibrium solutions and investigate patterns induced by diffusions. Then we study the properties and existence of nonconstant steady states. Moreover, we describe the local bifurcation structure and global bifurcation structure from two positive constant solutions, respectively. The main tools used here include the stability theory, degree theory, bifurcation theory. From extensive numerical simulations, the theoretical results are confirmed and complemented, and the influence of parameters δ1,δ2 on these patterns is depicted.
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