Monotone approximation for a nonlinear size and class age structured epidemic model

نویسندگان
چکیده

برای دانلود باید عضویت طلایی داشته باشید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Monotone Approximation for a Nonlinear Size and Class Age Structured Epidemic Model

In this paper, we study a nonautonomous size and class age structured epidemic model with nonlinear and nonlocal boundary conditions. We establish a comparison principle and construct convergent monotone sequences to prove the existence of solutions. Uniqueness of solutions is also established.

متن کامل

A multi-region nonlinear age–size structured fish population model

The goal of this paper is to present a generic multi-region nonlinear age-size structured fish population model, and to assess its mathematical well-posedness. An initial-boundary value problem is formulated. Existence and uniqueness of a positive weak solution is proved. Eventually, a comparison result is derived : the population of all regions decreases as the mortality rate increases in at l...

متن کامل

Existence-Uniqueness and Monotone Approximation for an Erythropoiesis Age-Structured Model

We develop a monotone approximation to the solution of an age-structured model which describes the regulation of erythropoiesis, the process by which red blood cells are developed. The convergence of this approximation to the unique solution of the model is also established.

متن کامل

A Note on the Convergence of the Homotopy Analysis Method for Nonlinear Age-Structured Population Models

In this paper, a theorem is proved which presents the series solution obtained from the homotopy analysis method is convergent to the exact solution of nonlinear age-structured population models.

متن کامل

A Nonlinear Model of Age and Size-structured Populations with Applications to Cell Cycles

The Sharpe–Lotka–McKendrick (or von Foerster) equations for an age-structured population, with a nonlinear term to represent overcrowding or competition for resources, are considered. The model is extended to include a growth term, allowing the population to be structured by size or weight rather than age, and a general solution is presented. Various examples are then considered, including the ...

متن کامل

ذخیره 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: Nonlinear Analysis: Real World Applications

سال: 2007

ISSN: 1468-1218

DOI: 10.1016/j.nonrwa.2006.03.008