Search research articles

ABOUT JoVE

Overview Leadership Blog JoVE Help Center

AUTHORS

Publishing Process Editorial Board Scope & Policies Peer Review FAQ Submit

LIBRARIANS

Testimonials Subscriptions Access Resources Library Advisory Board FAQ

RESEARCH

JoVE Journal Methods Collections JoVE Encyclopedia of Experiments Archive

EDUCATION

JoVE Core JoVE Business JoVE Science Education JoVE Lab Manual Faculty Resource Center Faculty Site

Terms & Conditions of Use

Related Concept Videos

Population Growth

Population Growth

Population size is dynamic, increasing with birth rates and immigration, and decreasing with death rates and emigration. In ideal conditions with unlimited resources, populations can increase exponentially, which plots as a J-shaped growth rate curve of population size against time. This type of curve is characteristic of newly-introduced invasive species, or populations that have suffered catastrophic declines and are rebounding.

Conservation of Declining Populations

Conservation of Declining Populations

Conservation of declining population focuses on ways of detecting, diagnosing, and halting a population decline. The approach uses methods to prevent populations from going extinct.

Conservation of Small Populations

Conservation of Small Populations

Small population sizes put a species at extreme risk of extinction due to a lack of variation, and a consequent decrease in adaptability. This weakens the chances of survival under pressures such as climate change, competition from other species, or new diseases. Large populations are more likely to survive pressures such as these, as such populations are more likely to harbor individuals that have genetic variants that are adaptive under new stresses. Small populations are much less likely to...

Modeling with Differential Equations

Modeling with Differential Equations

Population dynamics can be described mathematically by considering the population size P(t) as a function of time. The rate of change of the population is then represented by the derivative of P(t). A simple assumption is that the rate of growth is proportional to the size of the population itself. This leads to an exponential growth model, where the population increases rapidly without bound. While this is a useful first approximation, it does not reflect realistic long-term...

Optimal Foraging

Optimal Foraging

How animals obtain and eat their food is called foraging behavior. Foraging can include searching for plants and hunting for prey and depends on the species and environment.

Limits to Natural Selection

Limits to Natural Selection

Organisms that are well-adapted to their environment are more likely to survive and reproduce. However, natural selection does not lead to perfectly adapted organisms. Several factors constrain natural selection.

You might also read

Related Articles

Articles linked to this work by shared authors, journal, and citation graph.

Sort by

Same author

Quantifying the contributions of asymptomatic and symptomatic colonized patients to <i>Clostridioides difficile</i> acquisition in oncological units.

medRxiv : the preprint server for health sciences·2026

Same author

Divalent siRNA for prion disease.

Nucleic acids research·2026

Same author

Divalent siRNA for prion disease.

bioRxiv : the preprint server for biology·2026

Same author

Factors influencing the effectiveness of artificial intelligence-assisted decision-making in medicine: a scoping review.

Journal of the American Medical Informatics Association : JAMIA·2026

Same author

Re-evaluating the prospective prediction of near-term suicide attempt using a Go/No-go task.

Journal of affective disorders·2026

Same author

Data-driven modeling of amyloid-β targeted antibodies for Alzheimer's disease.

NPJ systems biology and applications·2025

Search research articles

Related Experiment Video

Updated: May 19, 2026

Population Replacement Strategies for Controlling Vector Populations and the Use of Wolbachia pipientis for Genetic Drive

Population Replacement Strategies for Controlling Vector Populations and the Use of Wolbachia pipientis for Genetic Drive

Published on: July 4, 2007

Optimal control applied to native-invasive population dynamics.

Daniel L Kern¹, Suzanne Lenhart, Rachael Miller

¹Department of Mathematical Sciences, University of Nevada, Las Vegas, Las Vegas, Nevada 89154, USA. kernd@unlv.nevada.edu

Journal of Biological Dynamics

|August 11, 2012

Summary

This summary is machine-generated.

This study models invasive species management using disturbance as a control. It optimizes native species growth by managing flooding, offering strategies for ecological restoration and invasive species control.

More Related Videos

Predicting the Effectiveness of Population Replacement Strategy Using Mathematical Modeling

Predicting the Effectiveness of Population Replacement Strategy Using Mathematical Modeling

Published on: July 4, 2007

Related Experiment Videos

Last Updated: May 19, 2026

Population Replacement Strategies for Controlling Vector Populations and the Use of Wolbachia pipientis for Genetic Drive

Population Replacement Strategies for Controlling Vector Populations and the Use of Wolbachia pipientis for Genetic Drive

Published on: July 4, 2007

Predicting the Effectiveness of Population Replacement Strategy Using Mathematical Modeling

Predicting the Effectiveness of Population Replacement Strategy Using Mathematical Modeling

Published on: July 4, 2007

Area of Science:

Ecology
Mathematical Biology
Environmental Management

Background:

Invasive species pose significant ecological threats, disrupting native populations and ecosystem functions.
Disturbance events, like flooding, can profoundly impact species interactions and population dynamics.
Managing invasive species often requires understanding and manipulating environmental factors.

Purpose of the Study:

To develop a mathematical model for population interactions between invasive and native species under disturbance.
To incorporate disturbance (e.g., flooding) as a control variable influencing species growth.
To formulate an optimization problem for maximizing native species and minimizing control costs.

Main Methods:

A mathematical model was developed for species interactions with disturbance as a control variable.
Quadratic growth functions were used to model the effect of disturbance (flooding) on populations.
An objective functional was formulated to balance native species maximization and control cost minimization.
An existence result for optimal control was established.

Main Results:

The study provides a framework for modeling invasive-native species dynamics with controlled disturbance.
Numerical simulations explored various parameter values to understand system behavior.
Optimal control strategies for managing disturbance regimes were investigated.

Conclusions:

The developed model offers insights into managing invasive species by controlling environmental disturbances.
Findings suggest that carefully managed disturbance can favor native species over invasive ones.
The research provides practical suggestions for ecological restoration and invasive species management strategies.