ABSTRACT
In Chapter 4, a methodology is explained and used for studying the RHS and LHS terms of eqs. (1.3-1–1.3-6) [1,2]. For the parameters of Listing 4.1, the linear (Fick's first law) diffusion terms of eqs. (1.3-1–1.3-6) essentially determined the LHS time derivative terms, and therefore the solutions https://www.w3.org/1998/Math/MathML"> m ( r , t ) , c ( r , t ) , a ( r , t ) https://s3-euw1-ap-pe-df-pch-content-public-p.s3.eu-west-1.amazonaws.com/9781003311201/563da37a-cfc4-4255-8bfc-8386bde5e9e8/content/math5_1.tif" xmlns:xlink="https://www.w3.org/1999/xlink"/> . This conclusion suggests an increase in the chemotaxis coefficient χ in eqs. (1.3-1) and (1.3-4) to give a significant contribution to chemotaxis to https://www.w3.org/1998/Math/MathML"> m ( r , t ) , c ( r , t ) , a ( r , t ) https://s3-euw1-ap-pe-df-pch-content-public-p.s3.eu-west-1.amazonaws.com/9781003311201/563da37a-cfc4-4255-8bfc-8386bde5e9e8/content/math5_2.tif" xmlns:xlink="https://www.w3.org/1999/xlink"/> , which is the first case considered next.
