Vectorial capacity, basic reproduction number, force of infection and all that: formal notation to complete and adjust their classical concepts and equations

Massad, Eduardo; Coutinho, Francisco Antônio Bezerra

doi:10.1590/s0074-02762012000400022

Cited by 36 publications

(40 citation statements)

References 18 publications

(11 reference statements)

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“…Distribution, abundance, feeding behaviour, host preference, parity status and human-biting and infection rates are among the medical entomological parameters evaluated in any vector species because these factors are essential in the determination of the vectorial competence of natural populations (Garrett-Jones 1964, Massad & Coutinho 2012). The number of mosquitoes caught can provide an estimate of human-biting activity (Odetoyinbo 1969, Zaim et al 1986, Lines et al 1991, Githeko et al 1994, Davis et al 1995, Shiff et al 1995, Costantini et al 1998b, Mboera et al 1998, Magbity et al 2002).…”

mentioning

confidence: 99%

Is there an efficient trap or collection method for sampling Anopheles darlingi and other malaria vectors that can describe the essential parameters affecting transmission dynamics as effectively as human landing catches? - A Review

Lima

Rosa-Freitas

Rodovalho

et al. 2014

Mem. Inst. Oswaldo Cruz

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Distribution, abundance, feeding behaviour, host preference, parity status and human-biting and infection rates are among the medical entomological parameters evaluated when determining the vector capacity of mosquito species. To evaluate these parameters, mosquitoes must be collected using an appropriate method. Malaria is primarily transmitted by anthropophilic and synanthropic anophelines. Thus, collection methods must result in the identification of the anthropophilic species and efficiently evaluate the parameters involved in malaria transmission dynamics. Consequently, human landing catches would be the most appropriate method if not for their inherent risk. The choice of alternative anopheline collection methods, such as traps, must consider their effectiveness in reproducing the efficiency of human attraction. Collection methods lure mosquitoes by using a mixture of olfactory, visual and thermal cues. Here, we reviewed, classified and compared the efficiency of anopheline collection methods, with an emphasis on Neotropical anthropophilic species, especially Anopheles darlingi, in distinct malaria epidemiological conditions in Brazil.

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mentioning

confidence: 99%

Is there an efficient trap or collection method for sampling Anopheles darlingi and other malaria vectors that can describe the essential parameters affecting transmission dynamics as effectively as human landing catches? - A Review

Lima

Rosa-Freitas

Rodovalho

et al. 2014

Mem. Inst. Oswaldo Cruz

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“…Pyrethroid mosquito nets effectively reduce malaria transmission by killing mosquitoes and reducing the overall age structure of the population, the most sensitive component of the vectorial capacity equation (P n , where P = daily survival, n = sporogonic period) (Massad and Coutinho, 2012). In contrast, pyriproxyfen primarily reduces the total mosquito population in the next generation (although there may be chronic life shortening effects (Ohashi et al, 2012)).…”

Section: Discussionmentioning

confidence: 99%

Evaluating the sterilizing effect of pyriproxyfen treated mosquito nets against Anopheles gambiae at different blood-feeding intervals

et al. 2015

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“…Note that, in analogy to the spread of infectious diseases models [29], the CRN, * 1 , represents the "average expected number of new offenders originated by a single persisting offender * 2 , whilst in a criminal career." In other words, one person * 2 who was incarcerated two times gets into contact with 1 susceptible individuals, just released from first imprisonment, successfully and induces * 1 persons to commit crime.…”

Section: Analysis Of the Pccm Modelmentioning

confidence: 99%

Contagious Criminal Career Models Showing Backward Bifurcations: Implications for Crime Control Policies

Raimundo

Yang

Massad

2018

Journal of Applied Mathematics

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We provide a theoretical framework to study how criminal behaviors can be treated as an infectious phenomenon. There are two infectious diseases like models that mimic the role of convicted criminals in contaminating individuals not yet engaged in the criminal career. Equilibrium analyses of each model are studied in detail. The models proposed in this work include the social, economic, personal, and pressure from peers aspects that can, theoretically, determine the probability with which a susceptible individual with criminal propensity engages in a criminal career. These crime-inducing parameters are treated mathematically and their inclusion in the model aims to help policy-makers design crime control strategies. We propose, to the best of our knowledge by the first time in quantitative criminology, the existence of thresholds for the stability of crime-endemic equilibrium which are the equivalent to the "basic reproduction number" widely used in the mathematical epidemiology literature. Both models presented the phenomena of backward bifurcation and breaking-point when the contact rates are chosen as bifurcation parameters. The finding of backward bifurcation in both models implies that there is an endemic equilibrium of criminality even when the threshold parameter for contagion is below unit, which, in turn, implies that control strategies are more difficult to achieve considerable impact on crime control.

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Vectorial capacity, basic reproduction number, force of infection and all that: formal notation to complete and adjust their classical concepts and equations

Cited by 36 publications

References 18 publications

Is there an efficient trap or collection method for sampling Anopheles darlingi and other malaria vectors that can describe the essential parameters affecting transmission dynamics as effectively as human landing catches? - A Review

Is there an efficient trap or collection method for sampling Anopheles darlingi and other malaria vectors that can describe the essential parameters affecting transmission dynamics as effectively as human landing catches? - A Review

Evaluating the sterilizing effect of pyriproxyfen treated mosquito nets against Anopheles gambiae at different blood-feeding intervals

Contagious Criminal Career Models Showing Backward Bifurcations: Implications for Crime Control Policies

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