Physiologically structured populations with diffusion and dynamic boundary conditions [PDF]
, 2011 We consider a linear size-structured population model with diffusion in the size-space. Individuals are recruited into the population at arbitrary sizes. The model is equipped with generalized Wentzell-Robin (or dynamic) boundary conditions.
Farkas, J. Z., Hinow, P.
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On the Calibration of a Size-Structured Population Model from Experimental Data [PDF]
, 2009 The aim of this work is twofold. First, we survey the techniques developed in (Perthame, Zubelli, 2007) and (Doumic, Perthame, Zubelli, 2008) to reconstruct the division (birth) rate from the cell volume distribution data in certain structured population
AL Koch +13 more
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Adaptive dynamics in logistic branching populations [PDF]
, 2007 We consider a trait-structured population subject to mutation, birth and competition of logistic type, where the number of coexisting types may fluctuate.
Champagnat, Nicolas, Lambert, Amaury
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On the complete phase synchronization for the Kuramoto model in the mean-field limit [PDF]
, 2014 We study the Kuramoto model for coupled oscillators. For the case of identical natural frequencies, we give a new proof of the complete frequency synchronization for all initial data; extending this result to the continuous version of the model, we ...
Benedetto, Dario +2 more
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Size-structured populations: immigration, (bi)stability and the net growth rate [PDF]
, 2009 We consider a class of physiologically structured population models, a first order nonlinear partial differential equation equipped with a nonlocal boundary condition, with a constant external inflow of individuals. We prove that the linearised system is
A.S. Ackleh +23 more
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On the Inverse Problem for a Size-Structured Population Model [PDF]
, 2006 We consider a size-structured model for cell division and address the question of determining the division (birth) rate from the measured stable size distribution of the population.
Perthame, Benoit, Zubelli, Jorge P.
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Global regularity of two-dimensional flocking hydrodynamics [PDF]
, 2017 We study the systems of Euler equations which arise from agent-based dynamics driven by velocity \emph{alignment}. It is known that smooth solutions of such systems must flock, namely -- the large time behavior of the velocity field approaches a limiting
He, Siming, Tadmor, Eitan
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Existence of Bistable Waves in a Competitive Recursion System with Ricker Nonlinearity [PDF]
, 2013 Using an abstract scheme of monotone semiflows, the existence of bistable traveling wave solutions of a competitive recursion system with Ricker nonlinearity is established. The traveling wave solutions formulate the strong inter-specific actions between
Liu, Jie, Pan, Shuxia
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A note on the existence of non-monotone non-oscillating wavefronts
, 2013 In this note, we present a monostable delayed reaction-diffusion equation with the unimodal birth function which admits only non-monotone wavefronts.
Gomez, Carlos +2 more
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A two-strain ecoepidemic competition model
, 2014 In this paper we consider a competition system in which two diseases spread by contact. We characterize the system behavior, establishing that only some configurations are possible.
Cavoretto, Roberto +3 more
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