Modelling malaria control by introduction of larvivorous fish

DOI10.1007/s11538-011-9628-6zbMath1334.92418OpenAlexW1966675211WikidataQ44156990 ScholiaQ44156990MaRDI QIDQ263752

Xiao-Qiang Zhao, Yijun Lou

Publication date: 5 April 2016

Published in: Bulletin of Mathematical Biology (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11538-011-9628-6

zbMATH Keywords

global attractivitypredator-prey modeldisease controllarvivorous fishmalaria transmissionvector borne diseases

Mathematics Subject Classification ID

Epidemiology (92D30) Population dynamics (general) (92D25)

Related Items

Modeling co-infection of \textit{ixodes} tick-borne pathogens ⋮ A climate-based malaria model with the use of bed nets ⋮ Exploring the effects of awareness and time delay in controlling malaria disease propagation ⋮ The impact of predators of mosquito larvae on Wolbachia spreading dynamics ⋮ Global dynamics in a model for anthrax transmission in animal populations ⋮ Mathematical modeling of malaria transmission global dynamics: taking into account the immature stages of the vectors ⋮ Global dynamics of a reaction and diffusion model for Lyme disease ⋮ Biological control of malaria: a mathematical model ⋮ A periodic Ross-Macdonald model in a patchy environment ⋮ A mathematical model of malaria transmission in a periodic environment ⋮ A cross-infection model with diffusive environmental bacteria ⋮ Modeling the potential role of engineered symbiotic bacteria in malaria control ⋮ Effects of travel frequency on the persistence of mosquito-borne diseases ⋮ Insecticide-resistant mosquitoes and malaria control ⋮ Analysis of schistosomiasis global dynamics with general incidence functions and two delays

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• A mathematical model for assessing control strategies against West Nile virus
• Stability analysis for differential infectivity epidemic models
• The stage-structured predator-prey model and optimal harvesting policy
• Effects of a disease affecting a predator on the dynamics of a predator-prey system
• A Lyapunov function and global properties for \(SIR\) and \(SEIR\) epidemiological models with nonlinear incidence
• Disease-induced stabilization of predator-prey oscillations
• Reproduction numbers and sub-threshold endemic equilibria for compartmental models of disease transmission
• Eradicating vector-borne diseases via age-structured culling
• Modelling disease introduction as biological control of invasive predators to preserve endangered prey
• The periodic Ross–Macdonald model with diffusion and advection
• Simple stage-structured models for wild and transgenic mosquito populations
• The Theory of the Chemostat
• Persistence under Relaxed Point-Dissipativity (with Application to an Endemic Model)
• Chain transitivity, attractivity, and strong repellors for semidynamical systems