In this paper, we analyze the effects of vaccination from a spatial perspective. We propose a spatial deterministic SIRS–V model, which considers a non-linear system of partial differential equations with explicit attrition and diffusion terms for the vaccination process. The model allows us to simulate numerically the spatial and temporal dynamics of an epidemic, considering different spatial strategies for the vaccination policy. In particular, in our first example we analyze the classical SIRS–V evolution with the addition of movements due to diffusion, while in the second one we focus on modeling one ring vaccination policy. We expect this model can improve spatial predictions of SIR vaccination models by taking into account the spatial dimension of the problem.

在本文中，我们从空间角度分析了疫苗接种的效果。我们提出了一种空间确定性SIRS-V模型，该模型考虑了带有微分方程的非线性系统，其中存在针对疫苗接种过程的明确损耗和扩散项。该模型允许我们考虑疫苗接种策略的不同空间策略，对流行病的时空动态进行数值模拟。特别是，在我们的第一个示例中，我们分析了经典SIRS-V的进化，并分析了扩散引起的运动，而在第二个示例中，我们着重于对一个环疫苗接种策略进行建模。我们希望该模型可以通过考虑问题的空间维度来改善SIR疫苗接种模型的空间预测。