"mutual influence between" is correct and usable in written English.
You can use it to refer to a two-way exchange of ideas or activities between two or more people or groups. For example, "This article examines the mutual influence between citizens and lawmakers in the formation of public policy."
The extent of any mutual influence between East and West cannot yet be determined.
It constructs an intricate narrative of mutual influence between science and the visual arts, gathering objects from Darwin's own library, various British and American museums, and private collections.
Therefore, because there has been a nearly continuous mutual influence between Daoists of different social classes philosophers, ascetics, alchemists, and the priests of popular cults the distinction between philosophical and religious Daoism in this article is made simply for the sake of descriptive convenience.
The "Contribution" concept represents a mutual influence between different concerns.
It seems clear that there has been no significant mutual influence between Davidson and Gadamer.
The mutual influence between headache and work activity is of growing interest in scientific research.
Results show the mutual influence between cell wall length and relative thickness.
It can be seen that there is a mutual influence between the DC bus voltage fluctuation and unbalanced grid currents.
At the same time, the mutual influence between DC bus voltage fluctuations and unbalanced grid currents can also be weakened.
However, these analyses prescribe mutual influence between variables, the large volume of data and should conform to the typical distribution.
According to the reciprocal determinism model, there is a mutual influence between external context, cognitive processes and behavior.
