Results 11 to 20 of about 783,646 (327)
Electronic Journal of Qualitative Theory of Differential Equations, 2023 This paper is devoted to studying the following quasilinear parabolic-elliptic-elliptic chemotaxis system \begin{equation*} \begin{cases} u_{t}=\nabla\cdot(\varphi(u)\nabla u-\psi(u)\nabla v)+au-bu^{\gamma},\ &\ \ x\in \Omega, \ t>0,\\[2.5mm] 0 ...
Chang-Jian Wang, Ya-Jie Zhu, Xin-Cai Zhu
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On an attraction-repulsion chemotaxis model involving logistic source
Hacettepe Journal of Mathematics and StatisticsThis paper is concerned with the attraction-repulsion chemotaxis system involving logistic source: $u_{t}=\Delta u-\chi \nabla \cdot \left( u\nabla \upsilon \right) +\xi \nabla \cdot \left( u\nabla \omega \right) +f(u)$, $\rho \upsilon _{t}=\Delta \upsilon -\alpha_{1}\upsilon +\beta _{1}u$, $\rho \omega _{t}=\Delta \omega -\alpha_{2}\omega +\beta _{2}u$
Ebubekir Akkoyunlu
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Mathematical Biosciences and Engineering, 2023 This paper proposes a non-smooth human influenza model with logistic source to describe the impact on media coverage and quarantine of susceptible populations of the human influenza transmission process. First, we choose two thresholds $ I_{T} $ and $ S_{
Guodong Li +3 more
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Electronic Research Archive, 2023 We study the following quasilinear pursuit-evasion model: $ \begin{equation*} \left\{ \begin{array}{ll} u_{t} = \Delta u-\chi\nabla \cdot (u(u+1)^{\alpha}\nabla w)+u(\lambda_{1}-\mu_{1}u^{r_{1}-1}+ av),\ &\ \ x\in \Omega, \ t>0,\\[2.5mm] v_{
Chang-Jian Wang, Zi-Han Zheng
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LOGISTICS OUT SOURCING & TRUST: CONCEPTUAL FRAME WORK
Revue Economie, Gestion et Société, 2021 Revue Economie, Gestion et Société, مجلد 1, عدد 29 (2021)
Mouaad CHAFAI +3 more
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Electronic Research Archive, 2023 This paper deals with the following quasilinear attraction-repulsion chemotaxis system $ \begin{equation*} \left\{ \begin{array}{ll} u_{t} = \nabla\cdot((u+1)^{m}\nabla u-\chi u(u+1)^{\theta-1}\nabla v+\xi u(u+1)^{l-1}\nabla w)+au-bu^{\kappa ...
Chang-Jian Wang, Yu-Tao Yang
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Global existence and boundedness in a two-species chemotaxis system with nonlinear diffusion
Open Mathematics, 2021 This paper is concerned with a chemotaxis system ut=Δum−∇⋅(χ1(w)u∇w)+μ1u(1−u−a1v),x∈Ω,t>0,vt=Δvn−∇⋅(χ2(w)v∇w)+μ2v(1−a2u−v),x∈Ω,t>0,wt=Δw−(αu+βv)w,x∈Ω,t>0,\left\{\begin{array}{ll}{u}_{t}=\Delta {u}^{m}-\nabla \cdot \left({\chi }_{1}\left(w)u\nabla w)+{\mu
Huang Ting, Hou Zhibo, Han Yongjie
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Traveling wave solutions of a singular Keller-Segel system with logistic source
Mathematical Biosciences and Engineering, 2022 This paper is concerned with the traveling wave solutions of a singular Keller-Segel system modeling chemotactic movement of biological species with logistic growth. We first show the existence of traveling wave solutions with zero chemical diffusion in $
Tong Li, Zhi-An Wang
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Logistic damping effect in chemotaxis models with density-suppressed motility
Advances in Nonlinear Analysis, 2022 This paper is concerned with a parabolic-elliptic chemotaxis model with density-suppressed motility and general logistic source in an n-dimensional smooth bounded domain with Neumann boundary conditions.
Lyu Wenbin, Wang Zhi-An
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