Global Solutions in the Species Competitive Chemotaxis System with Inequal Diffusion Rates
Author
Source
Discrete Dynamics in Nature and Society
Issue
Vol. 2016, Issue 2016 (31 Dec. 2016), pp.1-9, 9 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2016-12-08
Country of Publication
Egypt
No. of Pages
9
Main Subjects
Abstract EN
This paper is devoted to studying the two-species competitive chemotaxis system with signal-dependent chemotactic sensitivities and inequal diffusion rates u 1 t = Δ u 1 - ∇ · u 1 χ 1 v ∇ v + μ 1 u 1 1 - u 1 - a 1 u 2 , x ∈ Ω , t > 0 , u 2 t = Δ u 2 - ∇ · u 2 χ 2 v ∇ v + μ 2 u 2 1 - a 2 u 1 - u 2 , x ∈ Ω , t > 0 , v t = τ Δ v - γ v + u 1 + u 2 , x ∈ Ω , t > 0 , under homogeneous Neumann boundary conditions in a bounded and regular domain Ω ⊂ R n ( n ≥ 1 ) .
If the nonnegative initial date ( u 10 , u 20 , v 0 ) ∈ ( C 1 ( Ω ¯ ) ) 3 and v 0 ∈ ( v _ , v ¯ ) where the constants v ¯ > v _ ≥ 0 , the system possesses a unique global solution that is uniformly bounded under some suitable assumptions on the chemotaxis sensitivity functions χ 1 ( v ) , χ 2 ( v ) and linear chemical production function - γ v + u 1 + u 2 .
American Psychological Association (APA)
Cao, Huaihuo. 2016. Global Solutions in the Species Competitive Chemotaxis System with Inequal Diffusion Rates. Discrete Dynamics in Nature and Society،Vol. 2016, no. 2016, pp.1-9.
https://search.emarefa.net/detail/BIM-1103472
Modern Language Association (MLA)
Cao, Huaihuo. Global Solutions in the Species Competitive Chemotaxis System with Inequal Diffusion Rates. Discrete Dynamics in Nature and Society No. 2016 (2016), pp.1-9.
https://search.emarefa.net/detail/BIM-1103472
American Medical Association (AMA)
Cao, Huaihuo. Global Solutions in the Species Competitive Chemotaxis System with Inequal Diffusion Rates. Discrete Dynamics in Nature and Society. 2016. Vol. 2016, no. 2016, pp.1-9.
https://search.emarefa.net/detail/BIM-1103472
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1103472