In this article, we study the effect of chemotaxis on the dynamics of a diffusive bacterial and viral diseases propagation model. From three aspects: \(\chi >0\), \(\chi =0\) and \(\chi <0\), we investigate the existence of Turing bifurcations and stability of positive equilibrium under Neumann boundary conditions. We find that Turing bifurcations can induced by chemotaxis, which does not occur in the original model. Moreover, for the model with diffusion and chemotaxis, we need explore the new expression of the normal form on Turing bifurcation. By the newly obtained normal form, we can determine the properties of Turing bifurcation. Finally, we perform some numerical simulations to verify the theoretical analysis and obtain stable steady state solutions, spots pattern and spots-strip pattern, which also expand the main results in this article.

在本文中，我们研究了趋化性对细菌和病毒扩散细菌扩散模型动力学的影响。从三个方面来看：\（\ chi> 0 \），\（\ chi = 0 \）和\（\ chi <0 \），我们研究了在Neumann边界条件下图灵分支的存在和正平衡的稳定性。我们发现图灵分叉可以由趋化性诱导，这在原始模型中不会发生。此外，对于具有扩散和趋化性的模型，我们需要探索法灵形式在图灵分叉上的新表达。通过新获得的范式，我们可以确定图灵分支的性质。最后，我们进行了一些数值模拟，以验证理论分析并获得稳定的稳态解，斑点图案和​​斑点-条纹图案，这也扩展了本文的主要结果。