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math.AP2019★ 15 cited
Periodic asymptotic dynamics of the measure solutions to an equal mitosis equation
Pierre Gabriel, Hugo Martin
We are interested in a non-local partial differential equation modeling equal mitosis. We prove that the solutions present persistent asymptoticoscillations and that the convergenc…
math.AP2018★ 9 cited
Steady distribution of the incremental model for bacteria proliferation
Pierre Gabriel, Hugo Martin
We study the mathematical properties of a model of cell division structured by two variables, the size and the size increment, in the case of a linear growth rate and a self-simila…