Spatiotemporal Dynamics in a Diffusive Bacterial and Viral Diseases Propagation Model with Chemotaxis
Spatiotemporal Dynamics in a Diffusive Bacterial and Viral Diseases Propagation Model with Chemotaxis
复制标题
具有趋化性的扩散性细菌和病毒疾病传播模型中的时空动力学
DOI：
10.1007/s12346-020-00422-0
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发表时间：
2020
影响因子：
1.4
通讯作者：
Ouyang Peichang
中科院分区：
文献类型：
--
作者：
Tang Xiaosong;Ouyang Peichang
在这篇文章中，我们研究了趋化作用对扩散细菌和病毒疾病传播模型动力学的影响。从三个方面研究了Neumann边界条件下图灵分支的存在性和正平衡点的稳定性。我们发现图灵分支可以由趋化性诱导，这在原始模型中是不存在的。此外，对于具有扩散和趋化性的模型，我们还需要探索图灵分支上规范形的新的表达式。根据新得到的规范形，我们可以确定图灵分叉的性质。最后，通过数值模拟对理论分析进行了验证，得到了稳定的稳态解、斑点模式和斑点-条带模式，扩展了本文的主要结果。
In this article, we study the effect of chemotaxis on the dynamics of a diffusive bacterial and viral diseases propagation model. From three aspects:,and, 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.