Jove
Visualize
Contact Us
JoVE
x logofacebook logolinkedin logoyoutube logo
ABOUT JoVE
OverviewLeadershipBlogJoVE Help Center
AUTHORS
Publishing ProcessEditorial BoardScope & PoliciesPeer ReviewFAQSubmit
LIBRARIANS
TestimonialsSubscriptionsAccessResourcesLibrary Advisory BoardFAQ
RESEARCH
JoVE JournalMethods CollectionsJoVE Encyclopedia of ExperimentsArchive
EDUCATION
JoVE CoreJoVE BusinessJoVE Science EducationJoVE Lab ManualFaculty Resource CenterFaculty Site
Terms & Conditions of Use
Privacy Policy
Policies

Related Concept Videos

Lung Capacity01:47

Lung Capacity

56.3K
The air in the lungs is measured in volumes and capacities. Lung volume measures reflect the amount of air taken in, released, or left over after a lung function, like a single inhalation. Lung capacity measures are sums of two or more lung volume measures.
56.3K
Simplified Synchronous Machine Model01:30

Simplified Synchronous Machine Model

772
The Synchronous Machine Model is a fundamental tool in analyzing and ensuring the transient stability of power systems. This model simplifies the representation of a synchronous machine under balanced three-phase positive-sequence conditions, assuming constant excitation and ignoring losses and saturation. The model is pivotal for understanding the behavior of synchronous generators connected to a power grid, particularly during transient events.
In this model, each generator is connected to a...
772
Energy Carried By Electromagnetic Waves01:22

Energy Carried By Electromagnetic Waves

3.8K
Anyone who has used a microwave oven knows there is energy in electromagnetic waves. Sometimes, this energy is obvious, such as in the summer sun's warmth. At other times, it is subtle, such as the unfelt energy of gamma rays, which can destroy living cells. Electromagnetic waves bring energy into a system through their electric and magnetic fields. These fields can exert forces and move charges in the system and, thus, do work on them. However, there is energy in an electromagnetic wave,...
3.8K
Contact-dependent Signaling01:19

Contact-dependent Signaling

46.9K
Contact-dependent signaling, as the name suggests, requires that communicating cells be in direct contact with each other. This is achieved either through receptor-ligand interactions or by specialized cytoplasmic channels that allow the flow of small molecules between cells. In animal cells, channels called gap junctions facilitate contact-dependent signaling in certain tissues, whereas, plasmodesmata perform a similar function in plants.
Gap Junctions
In animal cells, gap junctions are formed...
46.9K
Respiratory Capacities01:24

Respiratory Capacities

1.4K
Respiratory capacities are crucial indicators of lung function, representing the maximum amount of air an individual's respiratory system can handle during various breathing phases.
One key metric is the Inspiratory Capacity (IC), which represents the maximum amount of air that can be inhaled with full effort. IC is calculated by summing the tidal volume and inspiratory reserve volume, typically ranging from 2.4 to 3.6 liters.
The Functional Residual Capacity (FRC) represents the air in the...
1.4K
Frequency-dependent Selection01:21

Frequency-dependent Selection

23.9K
When the fitness of a trait is influenced by how common it is (i.e., its frequency) relative to different traits within a population, this is referred to as frequency-dependent selection. Frequency-dependent selection may occur between species or within a single species. This type of selection can either be positive—with more common phenotypes having higher fitness—or negative, with rarer phenotypes conferring increased fitness.
23.9K

You might also read

Related Articles

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

Sort by
Same author

Stochastic control of single-species population dynamics model subject to jump ambiguity.

Journal of biological dynamics·2020
Same author

Two-species competing population dynamics with the population-dependent environmental capacities under random disturbance.

Theory in biosciences = Theorie in den Biowissenschaften·2020
Same author

Stochastic optimal switching model for migrating population dynamics.

Journal of biological dynamics·2019
Same author

A stochastic differential game approach toward animal migration.

Theory in biosciences = Theorie in den Biowissenschaften·2019
Same author

Stochastic differential game for management of non-renewable fishery resource under model ambiguity.

Journal of biological dynamics·2018
Same author

An optimal stopping approach for onset of fish migration.

Theory in biosciences = Theorie in den Biowissenschaften·2018

Related Experiment Video

Updated: Jan 29, 2026

Setting Limits on Supersymmetry Using Simplified Models
07:46

Setting Limits on Supersymmetry Using Simplified Models

Published on: November 15, 2013

8.9K

A simplified stochastic optimization model for logistic dynamics with control-dependent carrying capacity.

Hidekazu Yoshioka1

  • 1a Graduate School of Natural Science and Technology, Shimane University , Matsue, Nishikawatsu-cho , Japan.

Journal of Biological Dynamics
|February 8, 2019
PubMed
Summary
This summary is machine-generated.

This study presents a stochastic control model for algae population management in rivers. The model optimizes logistic dynamics, offering insights for environmental management strategies.

Keywords:
34H0535D4065M0692D2593E20Hamilton–Jacobi–Bellman equationLogistic-type equationbenthic algaestochastic optimal controlviscosity solution

More Related Videos

Optimized and Simplified Technique for the Production and Culture of Precision-Cut Liver Slices
06:00

Optimized and Simplified Technique for the Production and Culture of Precision-Cut Liver Slices

Published on: November 22, 2024

1.8K
A Simplified Technique for Producing an Ischemic Wound Model
12:00

A Simplified Technique for Producing an Ischemic Wound Model

Published on: May 2, 2012

17.8K

Related Experiment Videos

Last Updated: Jan 29, 2026

Setting Limits on Supersymmetry Using Simplified Models
07:46

Setting Limits on Supersymmetry Using Simplified Models

Published on: November 15, 2013

8.9K
Optimized and Simplified Technique for the Production and Culture of Precision-Cut Liver Slices
06:00

Optimized and Simplified Technique for the Production and Culture of Precision-Cut Liver Slices

Published on: November 22, 2024

1.8K
A Simplified Technique for Producing an Ischemic Wound Model
12:00

A Simplified Technique for Producing an Ischemic Wound Model

Published on: May 2, 2012

17.8K

Area of Science:

  • Environmental Science
  • Mathematical Modeling
  • Stochastic Control Theory

Background:

  • Algae blooms in river environments pose management challenges.
  • Optimization of logistic dynamics is crucial for ecological balance.
  • Stochastic control models offer a framework for complex environmental systems.

Purpose of the Study:

  • To develop a simplified stochastic control model for optimizing logistic dynamics.
  • To address control-dependent carrying capacity in population management.
  • To provide a mathematical framework for algae population control in rivers.

Main Methods:

  • Formulation of a stochastic control model for logistic dynamics.
  • Solving the associated Hamilton-Jacobi-Bellman (HJB) equation.
  • Approximation of the HJB equation solution using a finite difference scheme.
  • Derivation of asymptotic estimates for the solution and optimal control.

Main Results:

  • The Hamilton-Jacobi-Bellman equation possesses a unique viscosity solution.
  • The finite difference scheme effectively approximates the HJB equation solution.
  • Asymptotic estimates align with numerical solutions, validating the model.
  • Numerical examination reveals parameter dependence of the optimal control.

Conclusions:

  • The developed stochastic control model provides a viable approach for algae population management.
  • The study demonstrates the utility of HJB equations and finite difference methods in ecological modeling.
  • Findings have direct implications for optimizing river environmental management strategies.