Global Existence of Solutions for a Strongly Coupled Reaction-Diffusion System

A second‐order linearized difference scheme for a strongly coupled reaction‐diffusion system

“…Such equations attracted much attention about their global solutions [1][2][3][4]. Somathilake and Peiris [3] studied the system as follows: , and authors obtained the existence of global solutions in unbounded domain.…”

“…Somathilake and Peiris [3] studied the system as follows: , and authors obtained the existence of global solutions in unbounded domain. Jiang and Xie [4] investigated a system similar to (1.6)-(1.10) on a bounded domain with Neumann boundary conditions and proved the existence, uniqueness, and boundedness of the global solutions by using the classical analysis methods.…”

“…Throughout this article, we suppose that the system (1.1)-(1.5) has a unique smooth solution u(x, t), v(x, t) ∈ C (4,3) x,t ( ), where = {(x, t)|0 ≤ x ≤ 1, 0 ≤ t ≤ T }. In addition, we assume there are two positive constants c 1 and 0 so that, for any (x, t) ∈ and | l | ≤ 0 , l = 1, 2, 3, 4,…”

Global solutions of a strongly coupled reaction‐diffusion system with different diffusion coefficients

“…Here f (1.1) u 1 , u 2 , v 1 , and v 2 represent the concentrations ofĀ,B, A, and B, respectively (see [3]). We remark that the system ∂u ∂t = a∆u − uh(v), x ∈ Ω, t > 0, , a differentiable nonnegative function on R, has been studied by Kirane [4].…”