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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 …
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 …
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 …
nonlinear diffusion is studied in an abstract setting. By introducing a bifurcation parameter …
Null controllability of a population dynamics with interior degeneracy
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 …
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
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 …
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 …
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
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 …
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 …
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 …
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 …
unstructured algal food source. We introduce a delay into the boundary condition of this …