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GUAN Qiu-qin, WANG Yuan-ming. Finite Difference Solutions of a Cooperative Model with Diffusion[J]. Journal of East China Normal University (Natural Sciences), 2006, (5): 34-42.
Citation:
GUAN Qiu-qin, WANG Yuan-ming. Finite Difference Solutions of a Cooperative Model with Diffusion[J]. Journal of East China Normal University (Natural Sciences), 2006, (5): 34-42.
GUAN Qiu-qin, WANG Yuan-ming. Finite Difference Solutions of a Cooperative Model with Diffusion[J]. Journal of East China Normal University (Natural Sciences), 2006, (5): 34-42.
Citation:
GUAN Qiu-qin, WANG Yuan-ming. Finite Difference Solutions of a Cooperative Model with Diffusion[J]. Journal of East China Normal University (Natural Sciences), 2006, (5): 34-42.
This paper studied the finite difference solutions of a cooperative model with diffusion. A monotone iterative scheme was developed for solving the nonlinear finite difference system. The existence and uniqueness of a nonnegative solution was investigated. It was shown that the system may have four types of
nonnegative solutions for different parameters, and each of these solutions could be computed by a suitable choice of initial iteration in the monotone iterative scheme. Some numerical results were given.
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