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In this paper, global dynamics of an SIR model are investigated in which the incidence rate is being considered as Beddington-DeAngelis type and the treatment rate as Holling type II (saturated). Analytical study of the model shows that the model has two equilibrium points (diseasefree equilibrium (DFE) and endemic equilibrium (EE)). The disease-free equilibrium (DFE) is locally asymptotically stable when reproduction number is less than one. Some conditions on the model parameters are obtained to show the existence as well as nonexistence of limit cycle. Some sufficient conditions for global stability of the endemic equilibrium using Lyapunov function are obtained. The existence of Hopf bifurcation of model is investigated by using Andronov-Hopf bifurcation theorem. Further, numerical simulations are done to exemplify the analytical studies. [ABSTRACT FROM AUTHOR]

The classification of bladder tumors has undergone a change over the years but still has not achieved success in predicting the behavior. The correct cellular classification of a tumor helps initiate appropriate treatment. Recently functional, genomic and proteomic data have been of help in aiding prognosis and modifying the treatment in many cancers. However, this data is not routinely integrated into the classification, and treatment protocols in bladder carcinoma hinge on grade and depth of invasion. An in depth understanding of the implication of grade, stage, molecular features on survival is necessary to understand the behavior of the tumor. The classification of Urothelial cancer has undergone a lot of change in terminology over the past century but we have still not identified markers (both morphologic and molecular) for preventing recurrences. It is believed that the treatment protocols should be based on a combination of these and we still have to conduct large-scale follow-up studies to identify these parameters. We present here the changes in bladder cancer classifications over the past century and the implications thereof in this review. [ABSTRACT FROM AUTHOR]