Related Experiment Video
Updated: Jul 9, 2026

Establishing a Competing Risk Regression Nomogram Model for Survival Data
Published on: October 23, 2020
Coexistence in competition models with density-dependent mortality
Shigui Ruan1, Ada Ardito, Paolo Ricciardi
1Department of Mathematics, University of Miami, P.O. Box 249085, Coral Gables, FL 33124-4250, USA. ruan@math.miami.edu
Abstract:
We consider a two-competitor/one-prey model in which both competitors exhibit a general functional response and one of the competitors exhibits a density-dependent mortality rate. It is shown that the two competitors can coexist upon the single prey. As an example, we consider a two-competitor/one-prey model with a Holling II functional response. Our results demonstrate that density-dependent mortality in one of the competitors can prevent competitive exclusion. Moreover, by constructing a Liapunov function, the system has a globally stable positive equilibrium.
Related Concept Videos
Population Growth
Competition
Modeling with Differential Equations
Mechanistic Models: Compartment Models in Individual and Population Analysis
Microbial Interactions: Competition
Assumptions of Survival Analysis

