I Background and Fundamental Methods.- II Interacting Population Reaction-Diffusion Systems, Dirichlet Conditions.- III Other Boundary Conditions, Nonlinear Diffusion, Asymptotics.- IV Multigroup Fission Reactor Systems, Strongly Order-Preserving Systems.- V Monotone Schemes for Elliptic Systems, Periodic Solutions.- VI Systems of Finite Difference Equations, Numerical Solutions.- VII Large Systems under Neumann Boundary Conditions, Bifurcations.- VIII Appendix.- References.
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