Positive periodic solutions for a system of anisotropic parabolic equations

G Fragnelli - Journal of Mathematical Analysis and Applications, 2010 - Elsevier
We consider a system of two degenerate parabolic equations with nonlocal terms and
Dirichlet boundary conditions. More precisely, the degeneracy in each equation of the …

[HTML][HTML] Carleman estimates and null controllability for a degenerate population model

G Fragnelli - Journal de Mathématiques Pures et Appliquées, 2018 - Elsevier
We deal with a degenerate model describing the dynamics of a population depending on
time, on age and on space. We assume that the degeneracy can occur at the boundary or in …

Positive equilibrium solutions for age-and spatially-structured population models

C Walker - SIAM journal on mathematical analysis, 2009 - SIAM
The existence of positive equilibrium solutions to age-dependent population equations with
nonlinear diffusion is studied in an abstract setting. By introducing a bifurcation parameter …

Null controllability of a population dynamics with interior degeneracy

I Boutaayamou, Y Echarroudi - arxiv preprint arxiv:1704.00936, 2017 - arxiv.org
In this paper, we deal with the null controllability of a population dynamics model with an
interior degenerate diffusion. To this end, we proved first a new Carleman estimate for the …

Well-posedness and asynchronous exponential growth of an age-weight structured fish population model with nonautonomous past

S Boujijane, S Boulite, M Halloumi, L Maniar - Semigroup Forum, 2022 - Springer
We study the fish population model integrating age and weight structures, introduced in E.
Sánchez, ML Hbid, R. Bravo de la Parra.(J. Evol. Equ. 14: 603–616, 2014). We reformulate …

Age-dependent equations with non-linear diffusion

C Walker - arxiv preprint arxiv:0810.5465, 2008 - arxiv.org
We consider the well-posedness of models involving age structure and non-linear diffusion.
Such problems arise in the study of population dynamics. It is shown how diffusion and age …

Well-posedness and asynchronous exponential growth of an age-weighted structured fish population model with diffusion in

S Boujijane, S Boulite, M Halloumi, L Maniar… - Journal of Evolution …, 2024 - Springer
In the present paper, we address the asymptotic behavior of a fish population system
structured in age and weight, while also incorporating spatial effects. Initially, we develop an …

STABILITY RESULTS FOR A SIZE-STRUCTURED POPULATION MODEL WITH DELAYED BIRTH PROCESS.

X Fu, D Zhu - … & Continuous Dynamical Systems-Series B, 2013 - search.ebscohost.com
In this paper, we discuss the qualitative behavior of an age/size-structured population
equation with delay in the birth process. The linearization about stationary solutions is …

Bifurcation for Positive Solutions of Nonlinear Diffusive Logistic Equations in ℝ N with Indefinite Weight

D Mugnai, NS Papageorgiou - Indiana University Mathematics Journal, 2014 - JSTOR
We consider a diffusive p-logistic equation in the whole of ℝN with absorption and an
indefinite weight. Using variational and truncation techniques, we prove a bifurcation …

Dynamical analysis on a size-structured population model of Daphnia with delayed birth process

D Hu, G Huang - Chaos, Solitons & Fractals, 2022 - Elsevier
In this paper, we investigate a size-structured population model of Daphnia coupled with an
unstructured algal food source. We introduce a delay into the boundary condition of this …