New results on the global dynamics for a two-species chemotaxis system with two chemicals and logistic sources
Küçük Resim Yok
Tarih
2025
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Academic Press Inc Elsevier Science
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
This paper deals with the following competitive two-species chemotaxis system with two chemicals with a source term of logistic type u(t )=Delta u-chi(1)del & sdot;(u del upsilon)+eta(1)u-mu(1)u(2), upsilon(t )= Delta upsilon-upsilon+omega, omega(t )= Delta omega-chi(2)del & sdot;(omega del z)+eta(2)omega-mu(2)omega(2), 0 = Delta z - z + u, (x,t) is an element of Omega x (0,T) under homogeneous Neumann boundary conditions partial derivative u/partial derivative nu = partial derivative upsilon/partial derivative nu = partial derivative omega/partial derivative nu = partial derivative z/partial derivative nu = 0,(x,t)is an element of partial derivative Omega x (0,T) and initial conditions u(x,0) = u(0)(x), upsilon(x,0) = upsilon(0)(x), omega(x,0)=omega(0)(x), x is an element of Omega, in a bounded domain Omega subset of RN (N >= 1), where the parameters chi(1), mu(1), mu(2 )> 0 and eta(1), eta(2), chi(2 )is an element of R. It is proved that the corresponding initial-boundary value problem possesses a unique global bounded classical solution if one of the following cases holds: (i) chi 2 <0, (ii)chi 2>0 as well as mu(2) is large enough, which partially improves the results of [25]. (c) 2025 Elsevier Inc. All rights are reserved, including those for text and data mining, AI training, and similar technologies.
Açıklama
Anahtar Kelimeler
Boundedness, Two-species chemotaxis, Logistic source
Kaynak
Journal of Mathematical Analysis And Applications
WoS Q Değeri
Q1
Scopus Q Değeri
Q2
Cilt
545
Sayı
2
