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Boundedness of a two-species chemotaxis system with Lotka-Volterra type competition and two signals
International Journal of Mathematical Analysis, 2021In this paper, we consider the following full parabolic two-species chemotaxis system with Lotka-Volterra type competition and two signals ∂tu1 = ∆u1 −∇ · (χ11(υ1)u1∇υ1)−∇ · (χ12(υ2)u1∇υ2) + μ1u1(1− u1 − a1u2), x ∈ Ω, t > 0, ∂tu2 = ∆u2 −∇ · (χ21 ...
A. Rehman
semanticscholar +1 more source
Numerical Simulation of Fluid Membranes in Two-Dimensional Space
Communications in Computational Physics, 2008The membrane’s dynamics is very important for cells. A membrane in 2dimensional space can be seen as an incompressible closed curve in a plane or a cylindrical surface in 3-dimensional space.
Peng Song, Dan Hu, Pingwen Zhang
semanticscholar +1 more source
Mini-Workshop: PDE Models of Motility and Invasion in Active Biosystems
Oberwolfach Reports, 2018Cell migration is crucial for the development and functioning of multicellular organisms; it plays an essential role in, e.g., morphogenesis, immune system dynamics, wound healing, angiogenesis, bacterial motion and biofilm formation, tumor growth and ...
L. Berlyand +3 more
semanticscholar +1 more source
Biomixing by Chemotaxis and Enhancement of Biological Reactions
Communications in Partial Differential Equations, 2012Alexander Kiselev, Lenya Ryzhik
exaly
Global Solutions to the Coupled Chemotaxis-Fluid Equations
Communications in Partial Differential Equations, 2010Renjun Duan +2 more
exaly
Global Existence of Classical Solutions for a Haptotaxis Model
SIAM Journal on Mathematical Analysis, 2007Christoph Walker
exaly
Existence Theory and Qualitative Analysis for a Fully Cross-Diffusive Predator-Prey System
SIAM Journal on Mathematical Analysis, 2022exaly