Numerical solutions to equations modelling nonlinearly interacting age- dependent populations. (English) Zbl 0695.92012
Summary: A finite difference method for a system of hyperbolic partial differential-integral equations describing nonlinearly interacting age-dependent population dynamics is discussed. Boundedness of the numerical approximations and unconditional convergence of the method are proved. The proof is based on a discrete Gronwall-type inequality established in the paper.
MSC:
| 92D25 | Population dynamics (general) |
| 65N06 | Finite difference methods for boundary value problems involving PDEs |
| 35L40 | First-order hyperbolic systems |
Keywords:
nonlinearly interacting age-dependent population dynamics; unconditional convergence; discrete Gronwall-type inequalityReferences:
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