Results 11 to 20 of about 756,278 (227)

Sub-logistic source can prevent blow-up in the 2D minimal Keller-Segel chemotaxis system [PDF]

, 2018
It is well-known that the Neumann initial-boundary value problem for the minimal-chemotaxis-logistic system in a 2D bounded smooth domain has no blow-up for any choice of parameters. Here, for a large class of kinetic terms including sub-logistic sources,
Tian Xiang
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On an attraction-repulsion chemotaxis model involving logistic source

Hacettepe Journal of Mathematics and Statistics
This 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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Theoretical Analysis on a Diffusive SIS Epidemic Model with Logistic Source, Saturated Incidence Rate and Spontaneous Infection Mechanism

Mathematics
In this paper, we study a diffusive SIS epidemic model with a logistic source, saturation rate, and spontaneous infection mechanism. Based on the uniform bounds of parabolic system, the global attractivity of the endemic equilibrium is established in a ...
Hongmin Zhang, Jian Zhang, Xin Huo
doaj   +2 more sources

Sliding dynamics and bifurcations of a human influenza system under logistic source and broken line control strategy

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 , Wenjie Li, Ying Zhang , Yajuan Guan   +3 more
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Analyzing the Solution of Chemotaxis Equations with Logistic Source Term [PDF]

Mathematical Problems in Engineering, 2021
When the parameters have the characteristics of sensitivity and specificity, while the traditional analysis method is the analysis of equations, under the influence of the characteristics of parameters, because the ability to consider the overall existence and limitations of the equation is weak, this leads to the deviation of the analysis results ...
Yan Xu, Mohammed Abdella Kemal
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The effects of cross-diffusion and logistic source on the boundedness of solutions to a pursuit-evasion model

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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Stabilization in a two-species chemotaxis system with a logistic source [PDF]

Nonlinearity, 2012
We study a system of three partial differential equations modelling the spatiotemporal behaviour of two competitive populations of biological species both of which are attracted chemotactically by the same signal substance. For a range of the parameters the system possesses a uniquely determined spatially homogeneous positive equilibrium (u?, v ...
Tello del Castillo, José Ignacio, Winkler, Michael   +1 more
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High-order finite difference approximation of the Keller-Segel model with additional self- and cross-diffusion terms and a logistic source

Networks and Heterogeneous Media, 2023
In this paper, we consider the Keller-Segel chemotaxis model with self- and cross-diffusion terms and a logistic source. This system consists of a fully nonlinear reaction-diffusion equation with additional cross-diffusion.
Panpan Xu, Yongbin Ge, Lin Zhang
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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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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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