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Asian Journal of Mathematics & Statistics
eISSN: 2077-2068
pISSN: 1994-5418

Editor-in-Chief:  Haroon Mohamad Barakat
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Research Article
Published on October 06, 2017
Analysis of a SIRI Epidemic Model with Modified Nonlinear Incidence Rate and Latent Period
Shivram Sharma, Viquar Husain Badshah and Vandana Gupta
Objective: This study proposed an SIRI epidemic model with modified nonlinear incidence rate and latent period. Methodology: The equilibrium point of the model was investigated and showed that it was globally stable without latent period, further this study proposed the stability and Hopf bifurcation for the model with the latent period. Results: This study showed that the infected population on sociological and psychological effects seemed to be similar and the numerical examples were also given to illustrate the theoretical results. Conclusion: If basic reproduction number is less than or equal to one, the disease free equilibrium is globally asymptotically stable and if basic reproduction number is greater than one, then the endemic equilibrium exist and globally without latent period.
Research Article
Published on December 20, 2017
Fixed Point Theorem for Quasi-js-metric Spaces
Aklesh Pariya, Antima Sindersiya, Viquar Husain Badshah and Nirmala Gupta
Objective: The objective of this study was to prove some fixed point theorems for Ciric type contraction in quasi JS-metric space which generalizes existing results in quasi JS-metric spaces. Methodology: For proving the theorem collected some basic concepts and results from the literature. Results: This study showed that fixed point theorems for two mappings in quasi JS-metric spaces were proved. Conclusion: Therefore, Theorem 2.1 is a generalization of many fixed point results in fixed point literature in metric space, quasi metric space to quasi JS-metric space for Ciric type contraction.

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