Related Experiment Video
Updated: Jan 6, 2026

Synthesis of Cyclic Polymers and Characterization of Their Diffusive Motion in the Melt State at the Single Molecule Level
Published on: September 26, 2016
Stability analysis of a non-cooperative system of reaction-diffusion equations modeling two sub-populations with
C Eleh1, M Khachatryan2, M A Onyido3
1Department of Mathematics and Statistics, Auburn University, Auburn, AL, 36849, USA.
Abstract:
This study is concerned with the global stability of positive equilibrium (PE) solutions in a juvenile-adult structured diffusive model featuring a mixed dispersal mechanism. Under certain generic assumptions, we establish the uniqueness and global stability of the PE. Moreover, we show that these assumptions hold if either (i) the population disperses slowly, or (ii) the adults' reproduction rate is large. In particular, our findings demonstrate that a high adult reproduction rate always benefits species survival. Interestingly, with elevated juvenile maturity rates, the population can face extinction if the average death rate of adults surpasses their average reproduction rate. A key aspect of our analysis involves deriving the exact asymptotic limit of the principal spectrum point of some cooperative systems with mixed dispersals with respect to specific model parameters. In addition, we conducted numerical simulations to illustrate our theoretical results.
Related Concept Videos
Population Growth
Mechanistic Models: Compartment Models in Individual and Population Analysis
Dynamic Equilibrium
Speciation Rates
Stability of Equilibrium Configuration
A stable equilibrium occurs when a system tends to return to its original position when given a small displacement, and the potential energy is at its minimum. An example of a stable equilibrium is when a cantilever beam is fixed at one end and a weight is attached to the other end. If the weight...
Analysis of Population Pharmacokinetic Data

