This article surveys the mathematical aspects of traveling waves of a class of chemotaxis
models with logarithmic sensitivity, which describe a variety of biological or medical …

This paper proposes a survey and critical analysis focused on a variety of chemotaxis
models in biology, namely the classical Keller–Segel model and its subsequent …

This book presents models written as partial differential equations and originating from
various questions in population biology, such as physiologically structured equations …

In this paper, we are concerned with a model arising from biology, which is a coupled
system of the chemotaxis equations and the viscous incompressible fluid equations through …

We consider two simple conservative systems of parabolic-elliptic and parabolic-degenerate
type arising in modeling chemotaxis and angiogenesis. Both systems share the same …

This paper deals with the coupled chemotaxis–haptotaxis model {ut= Δ u− χ∇⋅(u∇ v)−
ξ∇⋅(u∇ w)+ μ u (1− u− w), x∈ Ω, t> 0, 0= Δ v+ u− v, x∈ Ω, t> 0, wt=− v w+ η w (1− w− u) …

This chapter returns to the general W (x) and describes the fact that the varia-tional structure
F defined on Pλ and that of Jλ on V= dom (A 1/2) stated in Chapter 6 are equivalent up to …

Critical mass for infinite-time aggregation in a chemotaxis model with indirect signal production
Page 1 DOI 10.4171/JEMS/749 J. Eur. Math. Soc. 19, 3641–3678 c European Mathematical …

Global Existence of Classical Solutions for a Haptotaxis Model Page 1 SIAM J. MATH. ANAL. c
2007 Society for Industrial and Applied Mathematics Vol. 38, No. 5, pp. 1694–1713 GLOBAL …

Poor drug delivery and low rates of cell proliferation are two factors associated with hypoxia
that diminish the efficacy of many chemotherapeutic drugs. Since macrophages are known …