一个例子

来源：互联网发布：阿里云数据库种类编辑：程序博客网时间：2024/05/20 07:18

⎧ ⎩ ⎨ ⎪ ⎪ ⎪ ⎪ ⎪ ⎪ ⎪ ⎪ ⎪ ⎪ ⎪ ⎪ ⎪ ⎪ ⎪ ⎪ ⎪ ⎪ ⎪ ⎪ ⎪ ⎪ ⎪ ⎪ ⎪ ⎪ ⎪ ⎪ ⎪ ⎪ \partial u ( t , x ) \partial t = d 1 △ u (t, x) + u (t, x) (r 1 - a 11 u (t - τ, x) - a 12 v (t, x)), \partial v ( t , x ) \partial t = d 2 △ v (t, x) + v (t, x) (- r 2 + a 21 u (t, x) - a 22 v (t, x)), \partial u \partial v = \partial v \partial u = 0, u (t, x) = ϕ (t, x) \geq 0, v (t, x) = ψ (t, x) \geq 0, t > 0, x \in Ω t > 0, x \in Ω t \geq 0, x \in \partial Ω (t, x) \in [- τ, 0] \times Ω

\partial u ( t , x ) \partial t = d 1 △ u (t, x) + u (t, x) (r 1 - a 11 u (t - τ, x) - a 12 v (t, x)), t > 0, x \in Ω

\partial v ( t , x ) \partial t = d 2 △ v (t, x) + v (t, x) (- r 2 + a 21 u (t, x) - a 22 v (t, x)), t > 0, x \in Ω

\partial u \partial v = \partial v \partial u = 0, t \geq 0, x \in \partial Ω

u (t, x) = ϕ (t, x) \geq 0, v (t, x) = ψ (t, x) \geq 0, (t, x) \in [- τ, 0] \times Ω

0 0