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

Modeling with Differential Equations01:25

Modeling with Differential Equations

310
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...
310
Symbiosis00:58

Symbiosis

27.4K
Symbiotic relationships are long-term, close interactions between individuals of different species that affect the distribution and abundance of those species. When a relationship is beneficial to both species, this is called mutualism. When the relationship is beneficial to one species but neither beneficial nor harmful to the other species, this is called commensalism. When one organism is harmed to benefit another, the relationship is known as parasitism. These types of relationships often...
27.4K

You might also read

Related Articles

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

Sort by
Same author

Procyanidin B2 alleviates triphenyl phosphate-induced colon injury through Tmigd1/NF-κB/NLRP3 signal axis.

Ecotoxicology and environmental safety·2026
Same author

Climate variability and COVID-19 non-pharmaceutical interventions shaped dengue transmission in Guangdong: an integrated modeling study.

Scientific reports·2026
Same author

Modeling and analysis of the effect of dissolved oxygen on the dynamics of Plankton system in shallow lakes.

Mathematical biosciences·2026
Same author

A clinical investigation using reflectance confocal microscopy to evaluate the add-on efficacy of the Shumin treatment instrument combined with doxycycline for rosacea.

Frontiers in medicine·2026
Same author

Dynamical modeling and analysis of the impact of zonal prevention and control under normalized management on African Swine Fever transmission in China.

Infectious Disease Modelling·2026
Same author

Reconciling the activity-selectivity trade-off in acrylonitrile oxidation via synergistic hydrolysis-oxidation over hierarchical Fe/Cu-ZSM-5.

Journal of colloid and interface science·2026

Related Experiment Video

Updated: Apr 21, 2026

Predicting the Effectiveness of Population Replacement Strategy Using Mathematical Modeling
20:36

Predicting the Effectiveness of Population Replacement Strategy Using Mathematical Modeling

Published on: July 4, 2007

8.2K

A new model with delay for mosquito population dynamics.

Hui Wan1, Huaiping Zhu

  • 1Jiangsu Key Laboratory for NSLSCS, School of Mathematical Science, Nanjing Normal University, Nanjing, 210023, China. wanh2046@163.com.

Mathematical Biosciences and Engineering : MBE
|November 4, 2014
PubMed
Summary

This study introduces a new mosquito population model, revealing that blood meal availability significantly impacts mosquito abundance and dynamics, potentially causing population fluctuations. The model highlights the importance of considering both reproduction and survival resources, along with maturation delays.

More Related Videos

Small-Cage Laboratory Trials of Genetically-Engineered Anopheline Mosquitoes
07:45

Small-Cage Laboratory Trials of Genetically-Engineered Anopheline Mosquitoes

Published on: May 1, 2021

2.7K
Quantifying Fitness Costs in Transgenic Aedes aegypti Mosquitoes
09:41

Quantifying Fitness Costs in Transgenic Aedes aegypti Mosquitoes

Published on: September 15, 2023

1.4K

Related Experiment Videos

Last Updated: Apr 21, 2026

Predicting the Effectiveness of Population Replacement Strategy Using Mathematical Modeling
20:36

Predicting the Effectiveness of Population Replacement Strategy Using Mathematical Modeling

Published on: July 4, 2007

8.2K
Small-Cage Laboratory Trials of Genetically-Engineered Anopheline Mosquitoes
07:45

Small-Cage Laboratory Trials of Genetically-Engineered Anopheline Mosquitoes

Published on: May 1, 2021

2.7K
Quantifying Fitness Costs in Transgenic Aedes aegypti Mosquitoes
09:41

Quantifying Fitness Costs in Transgenic Aedes aegypti Mosquitoes

Published on: September 15, 2023

1.4K

Area of Science:

  • Mathematical biology
  • Ecology
  • Population dynamics

Background:

  • Mosquito population dynamics are influenced by various factors, including resource availability and environmental conditions.
  • Existing models may not fully capture the complex interplay between reproduction, survival, and population fluctuations.

Purpose of the Study:

  • To develop a novel mathematical model for mosquito populations that incorporates maturation delay and the impact of blood meal resources on reproduction.
  • To analyze how blood meal availability affects mosquito abundance and population dynamics, including potential instabilities.
  • To investigate the role of maturation delay in mosquito population dynamics.

Main Methods:

  • Formulation of a new mathematical model for mosquito population dynamics.
  • Inclusion of maturation delay and blood meal resource impact on mosquito reproduction.
  • Analytical and numerical methods to prove the existence of a stable periodic solution.
  • Analysis of the impact of maturation delay on population dynamics.

Main Results:

  • Blood meal resource availability is a key determinant of mosquito abundance, beyond the typical crowded effect.
  • The availability of blood meal resources can induce Hopf bifurcation, leading to population oscillations.
  • A stable periodic solution for the mosquito population exists, confirmed both analytically and numerically.
  • Maturation delay significantly influences mosquito population dynamics.

Conclusions:

  • Mosquito population models must differentiate and include the distinct impacts of blood meal resources on reproduction versus survival.
  • The availability of resources for mosquito reproduction is critical and should not be overlooked in population modeling.
  • Maturation delay is an important factor influencing mosquito population dynamics and should be considered in future models.