scholarly journals Inverse bifurcation problems for diffusive logistic equation of population dynamics

2014 ◽  
Vol 413 (1) ◽  
pp. 495-501 ◽  
Author(s):  
Tetsutaro Shibata
Keyword(s):  
Population Dynamics ◽  
Logistic Equation ◽  
Diffusive Logistic Equation ◽  
Bifurcation Problems

scholarly journals Impact of Regional Difference in Recovery Rate on the Total Population of Infected for a Diffusive SIS Model

Mathematics ◽  
2021 ◽  
Vol 9 (8) ◽  
pp. 888
Author(s):  
Jumpei Inoue ◽  
Kousuke Kuto
Keyword(s):  
Recovery Rate ◽  
Regional Difference ◽  
Total Population ◽  
Reproduction Number ◽  
Reaction Diffusion ◽  
Logistic Equation ◽  
Sis Model ◽  
Reaction Diffusion Model ◽  
Diffusive Logistic Equation ◽  
Sis Epidemic

This paper is concerned with an SIS epidemic reaction-diffusion model. The purpose of this paper is to derive some effects of the spatial heterogeneity of the recovery rate on the total population of infected and the reproduction number. The proof is based on an application of our previous result on the unboundedness of the ratio of the species to the resource for a diffusive logistic equation. Our pure mathematical result can be epidemically interpreted as that a regional difference in the recovery rate can make the infected population grow in the case when the reproduction number is slightly larger than one.

An application of the logistic equation to the population dynamics of salt-marsh gastropods

1974 ◽  
Vol 5 (3) ◽  
pp. 450-459 ◽  
Author(s):  
Garrell E. Long ◽  
Phillip H. Duran ◽  
Ralph O. Jeffords ◽  
Douglas N. Weldon
Keyword(s):  
Population Dynamics ◽  
Salt Marsh ◽  
Logistic Equation

ON THE MODIFIED LOGISTIC EQUATION

2007 ◽  
Vol 17 (08) ◽  
pp. 2541-2546 ◽  
Author(s):  
T. BAKRI
Keyword(s):  
Exact Solution ◽  
Population Dynamics ◽  
Periodic Solution ◽  
Explicit Expression ◽  
Slow Manifold ◽  
Logistic Equation ◽  
Fast System ◽  
Sharp Estimates ◽  
Lift Off

A simple slow-fast system based on the logistic equation for which the exact solution is known, is considered here. We are especially interested in the lift-off point i.e. the point where the solution suddenly leaves the unstable slow manifold after being exponentially close to it for quite some time. Sharp estimates of this point are given. Also a slightly modified system is considered which has a periodic solution of canard type. The explicit expression of this periodic solution is given as well as estimates of its lift-off point. This type of equation can be valuable in modeling population dynamics. Lift-off points can then be used to predict outbreaks of epidemics, which nowadays is an important item in our society.

scholarly journals On a Diffusive Logistic Equation

1998 ◽  
Vol 225 (1) ◽  
pp. 326-339 ◽  
Author(s):  
G.A Afrouzi ◽  
K.J Brown
Keyword(s):  
Logistic Equation ◽  
Diffusive Logistic Equation
Sign in / Sign up

Export Citation Format

Share Document