scholarly journals Bayesian data assimilation provides rapid decision support for vector-borne diseases

2015 ◽  
Vol 12 (108) ◽  
pp. 20150367 ◽  
Author(s):  
Chris P. Jewell ◽  
Richard G. Brown

Predicting the spread of vector-borne diseases in response to incursions requires knowledge of both host and vector demographics in advance of an outbreak. Although host population data are typically available, for novel disease introductions there is a high chance of the pathogen using a vector for which data are unavailable. This presents a barrier to estimating the parameters of dynamical models representing host–vector–pathogen interaction, and hence limits their ability to provide quantitative risk forecasts. The Theileria orientalis (Ikeda) outbreak in New Zealand cattle demonstrates this problem: even though the vector has received extensive laboratory study, a high degree of uncertainty persists over its national demographic distribution. Addressing this, we develop a Bayesian data assimilation approach whereby indirect observations of vector activity inform a seasonal spatio-temporal risk surface within a stochastic epidemic model. We provide quantitative predictions for the future spread of the epidemic, quantifying uncertainty in the model parameters, case infection times and the disease status of undetected infections. Importantly, we demonstrate how our model learns sequentially as the epidemic unfolds and provide evidence for changing epidemic dynamics through time. Our approach therefore provides a significant advance in rapid decision support for novel vector-borne disease outbreaks.

2016 ◽  
pp. 1266-1290
Author(s):  
Oluwakemi Ola ◽  
Olga Buchel ◽  
Kamran Sedig

The impact of vector-borne diseases on developing nations is significant. Currently, the uncertainty of disease dynamics, volatility of human-environment interactions, and competing objectives coupled with the nature of applicable data present obstacles to stakeholders charged with developing preventive, control, and treatment measures. As a result, notwithstanding numerous measures, vector-borne diseases persist and impede the growth of developing nations. Therefore, computational tools that can address these obstacles and serve as decision support tools to stakeholders are much needed. This chapter is meant to draw attention to interactive visualization tools that allow stakeholders to control the flow of information, manipulate visual representations, and perform analytical tasks. Through a discussion of the vector-borne disease situation and interactive visualization tools, the case for integrating these tools into public health practice in developing nations is made.


2014 ◽  
Vol 2014 ◽  
pp. 1-14 ◽  
Author(s):  
Fengyan Zhou ◽  
Hongxing Yao

A model of the interactions among a host population, an insect-vector population, which transmits virus from hosts to hosts, and a vector predator population is proposed based on virus-host, host-vector, and prey (vector)-enemy theories. The model is investigated to explore the indirect effect of natural enemies on host-virus dynamics by reducing the vector densities, which shows the basic reproduction numbersR01(without predators) andR02(with predators) that provide threshold conditions on determining the uniform persistence and extinction of the disease in a host population. When the model is absent from predator, the disease is persistent ifR01>1; in such a case, by introducing predators of a vector, then the insect-transmitted disease will be controlled ifR02<1. From the point of biological control, these results show that an additional predator population of the vector may suppress the spread of vector-borne diseases. In addition, there exist limit cycles with persistence of the disease or without disease in presence of predators. Finally, numerical simulations are conducted to support analytical results.


2017 ◽  
Vol 25 (03) ◽  
pp. 441-477
Author(s):  
XINZHI LIU ◽  
PETER STECHLINSKI

Theory is developed for an epidemic model of a seasonally-spreading vector-borne disease using a hybrid system framework. Applicable to diseases spread by mosquitoes (e.g., chikungunya and Zika virus via Aedes albopictus), seasonal variations in transmission are modeled using switching parameters to represent term-time forcing. The vector agent is assumed to exhibit a period of incubation upon infection, modeled using a distribution. Three hybrid control strategies are analyzed in detail: switching cohort immunization, pulse vaccination at pre-specified times, and state-dependent pulse vaccination. Methods from switched systems theory are used to derive threshold disease eradication conditions involving the model parameters; convergence of solutions to a disease-free set or periodic solution is shown. A comprehensive analysis is performed to compare and contrast the different control schemes.


2014 ◽  
Vol 2014 ◽  
pp. 1-9
Author(s):  
Guihua Li ◽  
Zhen Jin

We establish and study vector-borne models with logistic and exponential growth of vector and host populations, respectively. We discuss and analyses the existence and stability of equilibria. The model has backward bifurcation and may have no, one, or two positive equilibria when the basic reproduction numberR0is less than one and one, two, or three endemic equilibria whenR0is greater than one under different conditions. Furthermore, we prove that the disease-free equilibrium is stable ifR0is less than 1, it is unstable otherwise. At last, by numerical simulation, we find rich dynamical behaviors in the model. By taking the natural death rate of host population as a bifurcation parameter, we find that the system may undergo a backward bifurcation, saddle-node bifurcation, Hopf bifurcation, Bogdanov-Takens bifurcation, and cusp bifurcation with the saturation parameter varying. The natural death rate of host population is a crucial parameter. If the natural death rate is higher, then the host population and the disease will die out. If it is smaller, then the host and vector population will coexist. If it is middle, the period solution will occur. Thus, with the parameter varying, the disease will spread, occur periodically, and finally become extinct.


2018 ◽  
Vol 2018 ◽  
pp. 1-5 ◽  
Author(s):  
J. C. A. Dias ◽  
L. H. A. Monteiro

Here, the propagation of vector-borne diseases is modeled by using a probabilistic cellular automaton. Numerical simulations considering distinct spatial distributions and time variations of the vector abundance are performed, in order to investigate their impacts on the number of infected individuals of the host population. The main conclusion is as follows: in the clustered distributions, the prevalence is lower, but the eradication is more difficult to be achieved, as compared to homogeneous distributions. This result can be relevant in the implementation of preventive surveillance measures.


2021 ◽  
Vol 7 (3) ◽  
pp. 3972-3987
Author(s):  
Shaymaa H. Salih ◽  
◽  
Nadia M. G. Al-Saidi ◽  

<abstract><p>Vector-Borne Disease (VBD) is a disease that consequences as of an infection communicated to humans and other animals by blood-feeding anthropoids, like mosquitoes, fleas, and ticks. Instances of VBDs include Dengue infection, Lyme infection, West Nile virus, and malaria. In this effort, we formulate a parametric discrete-time chaotic system that involves an environmental factor causing VBD. Our suggestion is to study how the inclusion of the parasitic transmission media (PTM) in the system would impact the analysis results. We consider a chaotic formula of the PTM impact, separating two types of functions, the host and the parasite. The considered applications are typically characterized by chaotic dynamics, and thus chaotic systems are suitable for their modeling, with corresponding model parameters, that depend on control measures. Dynamical performances of the suggested system and its global stability are considered.</p></abstract>


Author(s):  
Oluwakemi Ola ◽  
Olga Buchel ◽  
Kamran Sedig

The impact of vector-borne diseases on developing nations is significant. Currently, the uncertainty of disease dynamics, volatility of human-environment interactions, and competing objectives coupled with the nature of applicable data present obstacles to stakeholders charged with developing preventive, control, and treatment measures. As a result, notwithstanding numerous measures, vector-borne diseases persist and impede the growth of developing nations. Therefore, computational tools that can address these obstacles and serve as decision support tools to stakeholders are much needed. This chapter is meant to draw attention to interactive visualization tools that allow stakeholders to control the flow of information, manipulate visual representations, and perform analytical tasks. Through a discussion of the vector-borne disease situation and interactive visualization tools, the case for integrating these tools into public health practice in developing nations is made.


2005 ◽  
Vol 102 (5) ◽  
pp. 1531-1536 ◽  
Author(s):  
B. L. Woodworth ◽  
C. T. Atkinson ◽  
D. A. LaPointe ◽  
P. J. Hart ◽  
C. S. Spiegel ◽  
...  

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