The Asymptotic Behavior of a Transport Equation in Cell Population Dynamics with a Null Maturation Velocity

• Published in: Journal of mathematical analysis and applications Vol. 243; no. 1; pp. 47 - 63
• Main Authors: Boulanouar, M., Emamirad, H.
• Format: Journal Article
• Language: English
• Published: San Diego, CA Elsevier Inc 01.03.2000; Elsevier
• Subjects: Animal and plant ecology; Animal, plant and microbial ecology; Biological and medical sciences; Demecology; Exact sciences and technology; Fundamental and applied biological sciences. Psychology; General aspects; Mathematical analysis; Mathematics; Partial differential equations; Sciences and techniques of general use; Transport equation; Lebowitz Rubinow model; Reducibility; Banach lattice; Sobolev space; Asymptotic behavior; Reproduction rule; Semigroup; Boundary condition; Banach space; Linear operator; Partial differential equation; Exponential growth; Convergence; Cauchy problem; Ripening; Cell population; Population dynamics

In this paper we complete the study of Rotenberg's model (M. Rotenberg, 1983, J. Theoret. Biol.103, 181–199) describing the growth of a cell population and treated partially by M. Boulanouar and H. Emamirad (Differential Integral Equations, 13 (2000), 125–144). In contrast to our previously cit...