Modelling mosquito population suppression based on competition system with strong and weak Allee effect.
Math Biosci Eng
; 21(4): 5227-5249, 2024 Mar 06.
Article
in En
| MEDLINE
| ID: mdl-38872534
ABSTRACT
Mosquito-borne diseases are threatening half of the world's population. To prevent the spread of malaria, dengue fever, or other mosquito-borne diseases, a new disease control strategy is to reduce or eradicate the wild mosquito population by releasing sterile mosquitoes. To study the effects of sterile insect technique on mosquito populations, we developed a mathematical model of constant release of sterile Aedes aegypti mosquitoes with strong and weak Allee effect and considered interspecific competition with Anopheles mosquitoes. We calculated multiple release thresholds and investigated the dynamical behavior of this model. In order to get closer to reality, an impulsive differential equation model was also introduced to study mosquito suppression dynamics under the strategy of releasing $ c $ sterile male mosquitoes at each interval time $ T $. Finally, the relationship between the releasing amount or the waiting period and the number of days required to suppress mosquitoes was illustrated by numerical simulations.
Key words
Full text:
1
Database:
MEDLINE
Main subject:
Computer Simulation
/
Population Dynamics
/
Mosquito Control
/
Aedes
/
Mosquito Vectors
/
Anopheles
Limits:
Animals
/
Female
/
Humans
/
Male
Language:
En
Journal:
Math Biosci Eng
Year:
2024
Type:
Article
Affiliation country:
China