29 citations · 43 across the 6 of their papers we have counts for
7 papers
Analysis of COVID-19 evolution in Senegal: impact of health care capacity
Mouhamed M. Fall, Babacar M. Ndiaye, Ousmane Seydi +1
We consider a compartmental model from which we incorporate a time-dependent health care capacity having a logistic growth. This allows us to take into account the Senegalese autho…
Predicting the cumulative number of cases for the COVID-19 epidemic in China from early data
Zhihua Liu, Pierre Magal, Ousmane Seydi +1
We model the COVID-19 coronavirus epidemic in China. We use early reported case data to predict the cumulative number of reported cases to a final size. The key features of our mod…
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…
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…
Variation of constants formula and exponential dichotomy for non autonomous non densely defined Cauchy problems
Pierre Magal, Ousmane Seydi
In this paper we prove a variation of constants formula for a non autonomous and non homogeneous Cauchy problems whenever the linear part is not densely defined and is not a Hille-…
A Model of the 2014 Ebola Epidemic in West Africa with Contact Tracing
Cameron Browne, Xi Huo, Pierre Magal +3
A differential equations model is developed for the 2014 Ebola epidemics in Sierra Leone, Liberia, and Guinea. The model describes the dynamic interactions of the susceptible and i…
Persistence of exponential trichotomy for linear operators: A Lyapunov-Perron approach
Arnaud Ducrot, Pierre Magal, Ousmane Seydi
In this article we revisit the perturbation of exponential trichotomy of linear difference equation in Banach space by using a Perron-Lyapunov fixed point formulation for the pertu…