Abstract We present and analyse numerical methods with operator splitting procedures, applied to an epidemic model which takes into account the space-dependence of the infection. We derive conditions on the time step, under which the numerical methods preserve the non-negativity and monotonicity properties of the exact solution. Our results are illustrated by numerical experiments.

中文翻译：

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空间相关流行病模型的算子分裂

摘要 我们提出并分析了带有算子分裂程序的数值方法，该方法应用于考虑感染空间依赖性的流行病模型。我们推导出时间步长的条件，在这些条件下，数值方法保留了精确解的非负性和单调性。我们的结果通过数值实验来说明。