In this study, an SEIR epidemic model is considered and studied that incorporates the effect of delay in information dependent self-protection along with the effect of screening and saturated treatment. The proposed model is analysed and stability of equilibria is established. The local asymptotic stability of the disease free equilibrium is ensured for R0 < 1 and it is unstable otherwise. Whereas, for R0 > 1, the proposed model has the unique endemic equilibrium point. In addition, under some parametric conditions, the model has also two endemic equilibria for the case R0 < 1. For all delay values, the local asymptotic stability of the unique endemic equilibrium is established under some parametric constraints. Further, the occurrence of the periodic oscillations is also observed when the delay crosses a threshold value via Hopf bifurcation.
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10 January 2019
EMERGING TRENDS IN MATHEMATICAL SCIENCES AND ITS APPLICATIONS: Proceedings of the 3rd International Conference on Recent Advances in Mathematical Sciences and its Applications (RAMSA-2019)
17–19 January 2019
Noida, India
Research Article|
January 10 2019
Delayed information induced self-protection leads to oscillations in an epidemic model
Anuj Kumar;
Anuj Kumar
a)
1
Department of Mathematics, Jaypee Institute of Information Technology
, Noida 201304, India
a)Corresponding author: anujdubey17@gmail.com
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Prashant K. Srivastava
Prashant K. Srivastava
b)
2
Department of Mathematics, Indian Institute of Technology Patna
, Patna 801103, India
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a)Corresponding author: anujdubey17@gmail.com
AIP Conf. Proc. 2061, 020035 (2019)
Citation
Anuj Kumar, Prashant K. Srivastava; Delayed information induced self-protection leads to oscillations in an epidemic model. AIP Conf. Proc. 10 January 2019; 2061 (1): 020035. https://doi.org/10.1063/1.5086657
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