79 citations · 127 across the 25 of their papers we have counts for
4 papers · 1 filter
Large Speed Traveling Waves for the Rosenzweig-MacArthur Model with Spatial Diffusion
Arnaud Ducrot, Zhihua Liu, Pierre Magal
This paper focuses on traveling wave solutions for the so-called Rosenzweig-MacArthur model with spatial diffusion. The main results of this note are concerned with the existence a…
Positively Invariant Subset for Non-Densely Defined Cauchy Problems
Pierre Magal, Ousmane Seydi
In this article we prove the positive invariance of a closed subset by the semiflow generated by a semi-linear non densely Cauchy problem. The condition impose to obtain such a pro…
A cell-cell repulsion model on a hyperbolic Keller-Segel equation
Xiaoming Fu, Quentin Griette, Pierre Magal
In this work, we discuss a cell-cell repulsion population dynamic model based on a hyperbolic Keller-Segel equation with two populations. This model can well describe the cell grow…
Monotone abstract non-densely defined Cauchy problems applied to age structured population dynamic models
Pierre Magal, Ousmane Seydi, Feng-Bin Wang
In this article we first derive some sufficient conditions to establish the monotonicity and comparison principles of the semi-flow generated by non-densely defined Cauchy problems…