Biological invasion in a predator–prey model with a free boundary
نویسندگان
چکیده
منابع مشابه
A free boundary problem for Aedes aegypti mosquito invasion
An advection–reaction–diffusion model with free boundary is proposed to investigate the invasive process of Aedes aegypti mosquitoes. By analyzing the free boundary problem, we show that there are two main scenarios of invasive regime: vanishing regime or spreading regime, depending on a threshold in terms of model parameters. Once the mortality rate of the mosquito becomes large with a small s...
متن کاملA free boundary problem in biological selection models
Brunet and Derrida [3], have proposed a class of models for biological selection processes including the one we consider here. This is a system of N brownian particles on the line which branch independently at rate 1 creating a new brownian particle on the same position of the father; simultaneously the leftmost particle (which is the less fit) disappears. Thus the total number of particles doe...
متن کاملBoundary layer flow beneath a uniform free stream permeable continuous moving surface in a nanofluid
The main purpose of this paper is to introduce a boundary layer analysis for the fluid flow andheat transfer characteristics of an incompressible nanofluid flowing over a permeable isothermalsurface moving continuously. The resulting system of non-linear ordinary differential equations issolved numerically using the fifth–order Runge–Kutta method with shooting techniques usingMatlab and Maple s...
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 کاملAnalysis 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 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: Boundary Value Problems
سال: 2019
ISSN: 1687-2770
DOI: 10.1186/s13661-019-1147-7