This paper is devoted to investigating a two-species chemotaxis system with tensor-valued sensitivity and logistic source. It is mainly concerned with the global existence of generalized solutions. More precisely, when the logistic-type is weaker than the usual quadratic case, we prove, for any sufficiently smooth initial data, the associated no-flux/no-flux/no-flux problem possesses at least one globally defined solution in an appropriate generalized sense. In addition, we also underline that the similar results have been established for the corresponding system with constant sensitivity in a well-known result if the degradation is quadratic. Our results show that logistic source can rule out blow-up for such kind of models. On the other hand, due to the introduction of tensor value sensitivity, we neither need to impose any smallness assumption on the initial data here, nor require any restriction on the spatial dimension which generalizes and improves the partial of the result in the literature.

本文致力于研究具有张量值敏感性和逻辑源的二种趋化系统。它主要关注广义解的全局存在性。更准确地说，当逻辑类型比通常的二次情况弱时，我们证明，对于任何足够平滑的初始数据，相关的无通量/无通量/无通量问题在适当的情况下至少具有一个全局定义的解广义的意义。此外，我们还强调，如果退化是二次的，那么在众所周知的结果中，对于具有恒定灵敏度的相应系统，已经建立了类似的结果。我们的结果表明，逻辑源可以排除此类模型的爆炸。另一方面，由于引入了张量值敏感性，