A Wolbachia infection model with free boundary
نویسندگان
چکیده
منابع مشابه
Analysis of a free-boundary tumor model with angiogenesis
We consider a free boundary problem for a spherically symmetric tumor with free boundary r < R(t). In order to receive nutrients u the tumor attracts blood vessel at a rate proportional to α(t), so that ∂u ∂r +α(t)(u− ū) = 0 holds on the boundary, where ū is the nutrient concentration outside the tumor. A parameter μ in the model is proportional to the ‘aggressiveness’ of the tumor. When α is a...
متن کاملFormulation of a Model Free-boundary Problem
The purpose of this work is to present an error analysis of the numerical approximation by a finite element method of a free-surface problem. The analysis has been done in an abstract model which has many of the features of a free-surface problem for a viscous liquid. We study in this paper how the numerical approximation of the free boundary affects the approximation of the other variables of ...
متن کاملTHE STEFAN PROBLEM WITH KINETIC FUNCTIONS AT THE FREE BOUNDARY
This paper considers a class of one-dimensional solidification problem in which kinetic undercooling is incorporated into the temperature condition at the interface. A model problem with nonlinear kinetic law is considered. The main result is an existence theorem. The mathematical effects of the kinetic term are discussed
متن کاملA free boundary problem with curvature
In this paper we are interested in a free boundary problem whith a motion law involving the mean curvature term of the free boundary. Viscosity solutions are introduced as a notion of global-time solutions past singularities. We show the comparison principle for viscosity solutions, which yields the existence of minimal and maximal solutions for given initial data. We also prove uniqueness of t...
متن کاملFree Vibration Analysis of FGM Cylindrical Shell with Supported Ring Based on Reddy Model under Clamped Boundary Condition
In this paper a study on the vibration of thin cylindrical shells with ring supports and made of functionally graded materials (FGMs) composed of stainless steel and nickel is presented. The properties are graded in the thickness direction according to a volume fraction power-law distribution.The cylindrical shells with ring supports which are arbitrarily placed along the shell and impose zero ...
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 Biological Dynamics
سال: 2020
ISSN: 1751-3758,1751-3766
DOI: 10.1080/17513758.2020.1784474