Persistent oscillations and backward bifurcation in a malaria model with varying human and mosquito populations: implications for control
DOI10.1007/s00285-014-0804-9zbMath1328.34042OpenAlexW2028515900WikidataQ42207553 ScholiaQ42207553MaRDI QIDQ888293
Gideon A. Ngwa, Calistus N. Ngonghala, Miranda I. Teboh-Ewungkem
Publication date: 30 October 2015
Published in: Journal of Mathematical Biology (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00285-014-0804-9
sensitivity analysisbackward bifurcationoscillatory dynamicsreproduction numbersmalaria transmission and controlmosquito demography
Epidemiology (92D30) Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Bifurcation theory for ordinary differential equations (34C23) Control problems involving ordinary differential equations (34H05) Stability of solutions to ordinary differential equations (34D20) Qualitative investigation and simulation of ordinary differential equation models (34C60) Asymptotic properties of solutions to ordinary differential equations (34D05) Medical epidemiology (92C60)
Related Items (21)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Male fecundity and optimal gametocyte sex ratios for \textit{Plasmodium falciparum} during incomplete fertilization
- Periodic oscillations and backward bifurcation in a model for the dynamics of malaria transmission
- Mathematical assessment of the role of non-linear birth and maturation delay in the population dynamics of the malaria vector
- On the population dynamics of the malaria vector
- Determining important parameters in the spread of malaria through the sensitivity analysis of a mathematical model
- Dynamics of acquired immunity boosted by exposure to infection
- Acquired immunity dependent upon exposure in an SIRS epidemic model
- Backward bifurcation in epidemic control
- Backwards bifurcations and catastrophe in simple models of fatal diseases
- A mathematical model for endemic malaria with variable human and mosquito populations
- A within-vector mathematical model of \textit{Plasmodium falciparum} and implications of incomplete fertilization on optimal gametocyte sex ratio
- Dynamical models of tuberculosis and their applications
- A methodology for performing global uncertainty and sensitivity analysis in systems biology
- Reproduction numbers and sub-threshold endemic equilibria for compartmental models of disease transmission
- Modelling the dynamics of endemic malaria in growing populations
- The effect of seasonal host birth rates on population dynamics: the importance of resonance
- Mathematical study of the role of gametocytes and an imperfect vaccine on malaria transmission dynamics
- Epidemiological effects of seasonal oscillations in birth rates
- Effects of tick population dynamics and host densities on the persistence of tick-borne infections
- A mathematical model of the population dynamics of disease-transmitting vectors with spatial consideration
- Bifurcation Analysis of a Mathematical Model for Malaria Transmission
- Sensitivity and Uncertainty Analysis of Complex Models of Disease Transmission: An HIV Model, as an Example
- Ticks and tick-borne diseases: a vector-host interaction model for the brown ear tick (Rhipicephalus appendiculatus)
This page was built for publication: Persistent oscillations and backward bifurcation in a malaria model with varying human and mosquito populations: implications for control