Mckendrick–Tornquist Age-Dependent Population Model
نویسندگان
چکیده
The paper considers an age-dependent population model where the mortality function is given by Tornquist distribution. As a result of investigation, we obtain conditions existence nonnegative stationary states in this model.
منابع مشابه
Linear Age - Dependent Population
A linear model for an age-structured population with random diiusion in a bounded domain R n is studied in the semigroup framework in L 2. Three diierent approaches to establishing well-posedness of the problem are presented. Two of them involve applying known results on the m-dissipativeness of the sum of two m-dissipative operators to the population operator and the diiusion operator. 1. Intr...
متن کاملConvergence of an Age-Physiology Dependent Population Model
We propose a method for partially discretizing a model of an agedependent population dynamics with an additional structure whose growth rate is age-dependent. We give theoretical conditions under which a second order accuracy arises. A priori estimates are obtained. The main result indicates that the sum of these errors converges and is of second order accuracy.
متن کاملOn a Linear Age-dependent Population Diffusion Model* By
(/? is the birth modulus), that there is no diffusion through the boundary dQ of Q, that is: d A k(a, cc)u(t, a, x) doc = 0 (3) o 8*1 Jc where d/dr] is the normal derivative, and that the initial population is known: w(0, a, x) = u0(a, x). (4) A is the maximum life expectancy of the species. The initial boundary value problem (1)—(4) will be referred to as problem (I), namely (subscripts indica...
متن کاملNon-linear Age-dependent Population Dynamics
where P( t ) is the total population at time t and 5 is the growth modulus. This law is clearly inapplicable to situations in which the population competes for resources (e.g., space and food), for in these situations 5 should depend on the size of the population: the larger the population, the slower should be its rate of growth. To overcome this deficiency in the Malthusian law, VERHULST [184...
متن کاملApproximation of the Semigroup of a Linear Age-dependent Population Model with Spatial Diiusion Running Head: Age-dependent Population Diiusion Mail Proofs To
In this paper a variational version of the Trotter-Kato theorem is applied to an innnitesimal generator A of a C 0-semigroup in a Hilbert space that is assumed to be the sum of two linear operators A and B deened on the intersection of their domains, where A ? !I is m-dissipative for some ! > 0 and B is the generator of an analytic semigroup associated with a bounded V-coercive sesquilinear for...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of Mathematical Sciences
سال: 2021
ISSN: ['1072-3374', '1573-8795']
DOI: https://doi.org/10.1007/s10958-021-05248-y