A generalized nonautonomous SIRVS model

Pereira, Ester Liberato; Silva, César M.; Silva, Jacques A. L. da

doi:10.1002/mma.2586

Cited by 5 publications

(12 citation statements)

References 28 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…To determine whether a neutron has been emitted after a β-decay we therefore count neutrons for a 200 µs time period. This is sufficient to detect most neutrons (about 96%) [50]. With our low overall implantation rate of less than 0.1 ions per second this is still fast enough to correlate the neutron detection uniquely with a beta-decay event and the preceding implantation event.…”

Section: Setupmentioning

confidence: 84%

“…Calibration measurements using the same 252 Cf source were also performed before and after the experiment reported here. The details of the efficiency calibration are discussed in [50], see also [28]. The NERO efficiency as a function of neutron energy is constant for low energies and drops for increasing neutron energies beyond ≈ 1 MeV.…”

Section: Results For Pn Valuesmentioning

confidence: 99%

“…In this paper, we also present results from NERO (Neutron Emission Ratio Observer), a neutron detector that surrounded the BCS to provide information about branchings for β-delayed neutron emission [50] (see Fig. 2 and also [26,28]).…”

Section: Setupmentioning

confidence: 99%

See 2 more Smart Citations

Half-lives and branchings forβ-delayed neutron emission for neutron-rich Co–Cu isotopes in ther-process

Hosmer¹,

Schatz²,

Aprahamian³

et al. 2010

Phys. Rev. C

102

View full text Add to dashboard Cite

The β-decays of very neutron rich nuclides in the Co-Zn region were studied experimentally at the National Superconducting Cyclotron Laboratory using the NSCL β-counting station in conjunction with the neutron detector NERO. We measured the branchings for β-delayed neutron emission (Pn values) for 74 Co (18±15%), and 75−77 Ni (10±2.8%, 14±3.6%, and 30±24%, respectively) for the first time, and remeasured the Pn values of 77−79 Cu, 79,81 Zn, and 82 Ga. For 77−79 Cu and for 81 Zn we obtain significantly larger Pn values compared to previous work. While the new half-lives for the Ni isotopes from this experiment had been reported before, we present here in addition the first half-life measurements of 75 Co (30±11 ms) and 80 Cu (170 +110 −50 ms). Our results are compared with theoretical predictions, and their impact on various types of models for the astrophysical rapid neutron capture process (r-process) is explored. We find that with our new data the classical rprocess model is better able to reproduce the A = 78 − 80 abundance pattern inferred from the solar abundances. The new data also influence r-process models based on the neutrino driven high entropy winds in core collapse supernovae.

show abstract

Section: Setupmentioning

confidence: 84%

Section: Results For Pn Valuesmentioning

confidence: 99%

See 1 more Smart Citation

Half-lives and branchings forβ-delayed neutron emission for neutron-rich Co–Cu isotopes in ther-process

Hosmer¹,

Schatz²,

Aprahamian³

et al. 2010

Phys. Rev. C

102

View full text Add to dashboard Cite

show abstract

“…Our objective in this paper is to consider a family of nonautonomous SIQR models with a large family of contact rates given by general functions that are, in general, time-dependent and far from bilinear, and obtain numbers that play the role of the basic reproductive number in this setting. Related results for nonautonomous SIRVS models were obtained in [21,28], though the incidences considered in those papers are linear in the infectives while here we assume that the incidences are, in general, nonlinear functions of all compartments. We not that, for some diseases with long latent stages, a latent class must be considered.…”

Section: Introductionmentioning

confidence: 98%

A nonautonomous epidemic model with general incidence and isolation

Silva

2013

Math Methods in App Sciences

Self Cite

View full text Add to dashboard Cite

Abstract. We obtain conditions for eradication and permanence of infection for a nonautonomous SIQR model with time-dependent parameters, that are not assumed to be periodic. The incidence is given by functions of all compartments and the threshold conditions are given by some numbers that play the role of the basic reproduction number. We obtain simple threshold conditions in the autonomous, asymptotically autonomous and periodic settings and show that our thresholds coincide with the ones already established. Additionally, we obtain threshold conditions for the general nonautonomous model with mass-action, standard and quarantine-adjusted incidence.

show abstract

“…Nonautonomous logistic equations have been studied [ 23 – 28 ]. Based on above works and [ 29 – 34 ], we investigate a simple lymphatic filariasis model in periodic environment:

In view of the biological background, system ( 1 ) has initial values

where S h ( t ) and I h ( t ) separately denote the densities of the susceptible and the infective individuals for human population at time t ; S m ( t ) and I m ( t ) represent the densities of the susceptible and the infected individuals for mosquito population at time t , respectively. It is easy to see that N h ( t ) = S h ( t ) + I h ( t ) and N m ( t ) = S m ( t ) + I m ( t ) are size of human population and mosquito population, respectively.…”

Section: Introductionmentioning

confidence: 99%

Modeling the Parasitic Filariasis Spread by Mosquito in Periodic Environment

Cheng

Wang

Pan

et al. 2017

Computational and Mathematical Methods in Medicine

View full text Add to dashboard Cite

In this paper a mosquito-borne parasitic infection model in periodic environment is considered. Threshold parameter R0 is given by linear next infection operator, which determined the dynamic behaviors of system. We obtain that when R0 < 1, the disease-free periodic solution is globally asymptotically stable and when R0 > 1 by Poincaré map we obtain that disease is uniformly persistent. Numerical simulations support the results and sensitivity analysis shows effects of parameters on R0, which provided references to seek optimal measures to control the transmission of lymphatic filariasis.

show abstract

A generalized nonautonomous SIRVS model

Cited by 5 publications

References 28 publications

Half-lives and branchings forβ-delayed neutron emission for neutron-rich Co–Cu isotopes in ther-process

Half-lives and branchings forβ-delayed neutron emission for neutron-rich Co–Cu isotopes in ther-process

A nonautonomous epidemic model with general incidence and isolation

Modeling the Parasitic Filariasis Spread by Mosquito in Periodic Environment

Contact Info

Product

Resources

About