Journal
NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS
Volume 76, Issue -, Pages -Publisher
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.nonrwa.2023.104016
Keywords
Attraction-repulsion; Chemotaxis; Boundedness; Nonlinear productions
Categories
Ask authors/readers for more resources
This paper studies the attraction-repulsion chemotaxis system of two-species with two chemical substances. The behavior of solutions is determined by the interactions among diffusion, attraction, repulsion, logistic sources, and nonlinear productions in the system. The paper provides conditions for the global boundedness of solutions.
This paper studies the attraction-repulsion chemotaxis system of two-species with two chemical sut=triangle u-chi 1 del(u del v) +f1(u),vt=triangle v-v+w gamma 1,wt=triangle w+chi 2 del(w del z) +f2(w),0 =triangle z-z+u gamma 2, subject to the homogeneous Neumann boundary conditions in a bounded domain ohm subset of RN(N >= 2) with smooth boundary, where theparameters chi i,gamma i>0 (i= 1,2), and the logistic sources fi(s)is an element of C2[0,infinity)satisfyfi(s)<=mu is(1-s theta i)with mu i,theta i>0,fi(0)>= 0(i= 1,2). The interactions among the diffusion, attraction, repulsion, logistic sources, and nonlinear productions in the system determine the behavior of solutions. It is obtained that the solutions would be globally bounded whenever the nonlinear productions are dominated by one of the following three mechanisms: (i) the diffusion with gamma 1<2N, or gamma 2<4Nwith gamma 2 <= 1; (ii) the logistic sources with min{theta 1,theta 2}>= max{gamma 1,gamma 2}, and (iii) the cooperation of diffusion and logistic sources with theta 1+ 1> gamma 2min{1 +N2,1 +N gamma 12 theta 2},or theta 2+ 1> gamma 1min{1 +N2,1 + max{N4,1}gamma 2 theta 1}.(c) 2023 Elsevier Ltd. All rights reserved
Authors
I am an author on this paper
Click your name to claim this paper and add it to your profile.
Reviews
Recommended
No Data Available