Abstract In the context of the left-right twin Higgs （LRTH） model, we have studied the charged Higgs bosons production processes e＋e-（γγ） →tbФ- at the International Linear Collider （ILC）. It is found that t...Abstract In the context of the left-right twin Higgs （LRTH） model, we have studied the charged Higgs bosons production processes e＋e-（γγ） →tbФ- at the International Linear Collider （ILC）. It is found that the cross sections of these two processes could reach a few Fo with reasonable parameter values. With the yearly integrated luminosity of L 500 fb-1 expected at the ILC, one could collect hundreds up to thousands of charged ttiggs events via these two processes. Therefore, our researches in this paper can help us search for charged Higgs bosons, and furthermore, to test the LRTH model.展开更多
A deterministic model for evaluating the impact of voluntary testing and treatment on the transmission dynamics of tuberculosis is formulated and analyzed. The epidemio- logical threshold, known as the reproduction nu...A deterministic model for evaluating the impact of voluntary testing and treatment on the transmission dynamics of tuberculosis is formulated and analyzed. The epidemio- logical threshold, known as the reproduction number is derived and qualitatively used to investigate the existence and stability of the associated equilibrium of the model system. The disease-free equilibrium is shown to be locally-asymptotically stable when the reproductive number is less than unity, and unstable if this threshold parameter exceeds unity. It is shown, using the Centre Manifold theory, that the model undergoes the phenomenon of backward bifurcation where the stable disease-free equilibrium co- exists with a stable endemic equilibrium when the associated reproduction number is less than unity. The analysis of the reproduction number suggests that voluntary tuber- culosis testing and treatment may lead to effective control of tuberculosis. Furthermore, numerical simulations support the fact that an increase voluntary tuberculosis testing and treatment have a positive impact in controlling the spread of tuberculosis in the community.展开更多
基金Supported by the Scientific Research Key Project of the Education Department of Henan under Grant Nos.13A140113 and 12A140011Zhoukou Shizhuan Boshi Chuangxin under Grant No.20121039
文摘Abstract In the context of the left-right twin Higgs （LRTH） model, we have studied the charged Higgs bosons production processes e＋e-（γγ） →tbФ- at the International Linear Collider （ILC）. It is found that the cross sections of these two processes could reach a few Fo with reasonable parameter values. With the yearly integrated luminosity of L 500 fb-1 expected at the ILC, one could collect hundreds up to thousands of charged ttiggs events via these two processes. Therefore, our researches in this paper can help us search for charged Higgs bosons, and furthermore, to test the LRTH model.
文摘A deterministic model for evaluating the impact of voluntary testing and treatment on the transmission dynamics of tuberculosis is formulated and analyzed. The epidemio- logical threshold, known as the reproduction number is derived and qualitatively used to investigate the existence and stability of the associated equilibrium of the model system. The disease-free equilibrium is shown to be locally-asymptotically stable when the reproductive number is less than unity, and unstable if this threshold parameter exceeds unity. It is shown, using the Centre Manifold theory, that the model undergoes the phenomenon of backward bifurcation where the stable disease-free equilibrium co- exists with a stable endemic equilibrium when the associated reproduction number is less than unity. The analysis of the reproduction number suggests that voluntary tuber- culosis testing and treatment may lead to effective control of tuberculosis. Furthermore, numerical simulations support the fact that an increase voluntary tuberculosis testing and treatment have a positive impact in controlling the spread of tuberculosis in the community.
