Abstract
This paper concerns the uniform boundedness and global existence of solutions in time for the chemotaxis model with two chemicals. We prove the system has global existence of solutions in time for any dimensionn.
Highlights
Introduction and Statement of Main ResultChemotaxis is the influence of chemical substances in the environment on the movement of mobile species
We prove the system has global existence of solutions in time for any dimension n
Vt = DVΔV − k (V) V + f (u, V), where u is the density function of cells (e.g., Dictyostelium discoideum) that are attracted by a chemical substance produced by themselves and the movement towards a higher concentration of the chemical substance, whose concentration function is V
Summary
Introduction and Statement of Main ResultChemotaxis is the influence of chemical substances in the environment on the movement of mobile species. This paper concerns the uniform boundedness and global existence of solutions in time for the chemotaxis model with two chemicals. We prove the system has global existence of solutions in time for any dimension n. We study the global existence of solutions in time of (3); by applying analysis semigroup and energy method we will prove that system (3) has global solutions in time in any dimension n.
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