Modeling transmission dynamics of lyme disease: Multiple vectors, seasonality, and vector mobility

Nguyen, Aileen; Mahaffy, Joseph M.; Vaidya, Naveen K.

doi:10.1016/j.idm.2019.03.001

Cited by 15 publications

(14 citation statements)

References 45 publications

Supporting

Mentioning

Contrasting

Unclassified

Order By: Relevance

“…Mathematical modeling and in field experiments done in the USA have shown that abundance of the North American tick Ixodes scapularis, a close relative of I. ricinus, is strongly associated with density of deer [84]. A decrease in numbers of deer was consistently associated with a decrease in tick population in following years [85,86].…”

Section: Tick Host Managementmentioning

confidence: 98%

Management Options for Ixodes ricinus-Associated Pathogens: A Review of Prevention Strategies

Černý

Lynn

Hrnková

et al. 2020

IJERPH

View full text Add to dashboard Cite

Ticks are important human and animal parasites and vectors of many infectious disease agents. Control of tick activity is an effective tool to reduce the risk of contracting tick-transmitted diseases. The castor bean tick (Ixodes ricinus) is the most common tick species in Europe. It is also a vector of the causative agents of Lyme borreliosis and tick-borne encephalitis, which are two of the most important arthropod-borne diseases in Europe. In recent years, increases in tick activity and incidence of tick-borne diseases have been observed in many European countries. These increases are linked to many ecological and anthropogenic factors such as landscape management, climate change, animal migration, and increased popularity of outdoor activities or changes in land usage. Tick activity is driven by many biotic and abiotic factors, some of which can be effectively managed to decrease risk of tick bites. In the USA, recommendations for landscape management, tick host control, and tick chemical control are well-defined for the applied purpose of reducing tick presence on private property. In Europe, where fewer studies have assessed tick management strategies, the similarity in ecological factors influencing vector presence suggests that approaches that work in USA may also be applicable. In this article we review key factors driving the tick exposure risk in Europe to select those most conducive to management for decreased tick-associated risk.

show abstract

Section: Tick Host Managementmentioning

confidence: 98%

Management Options for Ixodes ricinus-Associated Pathogens: A Review of Prevention Strategies

Černý

Lynn

Hrnková

et al. 2020

IJERPH

View full text Add to dashboard Cite

show abstract

“…Nguyen et al. ( 2019 ) examine how several ecological factors affect the presence and prevalence of Borrelia. They use a continuous-time model that incorporates mouse and deer hosts, tick life history and host preference and seasonal variation in elements such as tick biting behaviour, tick mortality and deer reproduction.…”

Section: Mathematical Modelmentioning

confidence: 99%

Host Specialisation, Immune Cross-Reaction and the Composition of Communities of Co-circulating Borrelia Strains

2021

View full text Add to dashboard Cite

We use mathematical modelling to examine how microbial strain communities are structured by the host specialisation traits and antigenic relationships of their members. The model is quite general and broadly applicable, but we focus on Borrelia burgdorferi, the Lyme disease bacterium, transmitted by ticks to mice and birds. In this system, host specialisation driven by the evasion of innate immunity has been linked to multiple niche polymorphism, while antigenic differentiation driven by the evasion of adaptive immunity has been linked to negative frequency dependence. Our model is composed of two host species, one vector, and multiple co-circulating pathogen strains that vary in their host specificity and their antigenic distances from one another. We explore the conditions required to maintain pathogen diversity. We show that the combination of host specificity and antigenic differentiation creates an intricate niche structure. Unequivocal rules that relate the stability of a strain community directly to the trait composition of its members are elusive. However, broad patterns are evident. When antigenic differentiation is weak, stable communities are typically composed entirely of generalists that can exploit either host species equally well. As antigenic differentiation increases, more diverse stable communities emerge, typically around trait compositions of generalists, generalists and very similar specialists, and specialists roughly balanced between the two host species.

show abstract

“…To construct the basic reproduction number for system (1) , we use the next-generation matrix approach [29] . The reader may see [30] , [31] , [32] , [33] , [34] , [35] , [36] for another example of the derivation of

using this method.…”

Section: Analysis Of the Modelmentioning

confidence: 99%

Optimal control problem and backward bifurcation on malaria transmission with vector bias

Aldila

Angelina

2021

Heliyon

View full text Add to dashboard Cite

This article aims to apply a mathematical model to investigate the spread of malaria by considering vector bias, saturated treatment, and an optimal control approach. A mathematical analysis of the equilibrium points and an investigation of the basic reproduction number show that if the basic reproduction number ( is less than one, the disease-free equilibrium is locally asymptotically stable. Furthermore, the center-manifold theory is applied to analyze the stability of the endemic equilibrium when 1 . We find that our model performs a backward bifurcation phenomenon when the saturated treatment or vector bias parameter is larger than the threshold. Interestingly, we found that uncontrolled fumigation could increase the chance of the appearance of backward bifurcation. From the sensitivity analysis of , we find that the fumigation and vector bias are the most influential parameters for determining the magnitude of . Using the Pontryagin maximum principle, the optimal control problem is constructed by treating fumigation and medical treatment parameters as the time-dependent variable. Our numerical results on the optimal control simulation suggest that time-dependent fumigation and medical treatment could suppress the spread of malaria more efficiently at minimum cost.

show abstract

Modeling transmission dynamics of lyme disease: Multiple vectors, seasonality, and vector mobility

Cited by 15 publications

References 45 publications

Management Options for Ixodes ricinus-Associated Pathogens: A Review of Prevention Strategies

Management Options for Ixodes ricinus-Associated Pathogens: A Review of Prevention Strategies

Host Specialisation, Immune Cross-Reaction and the Composition of Communities of Co-circulating Borrelia Strains

Optimal control problem and backward bifurcation on malaria transmission with vector bias

Contact Info

Product

Resources

About