# Does a population with the highest turnover coefficient win competition?

## TL;DR

This paper analyzes a discrete time competition model with populations differing in fertility and mortality, comparing its dynamics to continuous models and identifying conditions for competitive exclusion and periodic solutions.

## Contribution

It provides new sufficient conditions for competitive exclusion and periodic solutions in a discrete competition model, extending classical logistic, Beverton-Holt, and Ricker models.

## Key findings

- Conditions for competitive exclusion established
- Existence of periodic solutions demonstrated
- Comparison with continuous models elucidated

## Abstract

We consider a discrete time competition model. Populations compete for common limited resources but they have different fertilities and mortalities rates. We compare dynamical properties of this model with its continuous counterpart. We give sufficient conditions for competitive exclusion and the existence of periodic solutions related to the classical logistic, Beverton-Holt and Ricker models.