Chemotaxis is a term which occurs frequently in biology. It refers to a phenomenon of chemically directed movement. It is instructive to consider a population of a biological species. In a diffusion process, if the species is densely crowded together then diffusion acts to spread the population outward in space. Chemotaxis is a completely different effect whereby the species is attracted towards a high chemical concentration. For example, as Murray (1990), p. 241, points out, female members of certain species exude a chemical to attract male members of the same species.
KeywordsPartial Differential Equation Diffusion Term Slime Mold Partial Differential Equation System Global Positive Solution
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