https://doi.org/10.1140/epjs/s11734-022-00658-8
Regular Article
Exploration of stochastic dynamics and complexity in an epidemic system
1
School of Physics and Electronics, Central South University, 932, Lushan South Road, 410083, Changsha, Hunan, China
2
Department of Mathematics, Sivanath Sastri College, 23/49, Gariahat Road, 700029, Kolkata, West Bengal, India
Received:
29
April
2022
Accepted:
5
August
2022
Published online:
29
August
2022
We investigate the effect of noise in an epidemic system. We have studied dynamics and complexity for both the deterministic and its noise-induced model. We have verified the stochastic sensitivity under the variation of noise strength and changing the initial conditions of the noise-induced system. It confirms that noise can make significant perturbation in the stochastic sensitivity. To quantify the dynamics, phase space analysis is done under both noisy and noise free conditions. The transition between regular and chaotic dynamics has been examined by 
test. Corresponding complexity analysis is also done using the weighted recurrence entropy method. Numerical results confirm the chaotic dynamics in the noise-induced epidemic system within a larger region of parameters compared to the same in its noise free part.
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© The Author(s), under exclusive licence to EDP Sciences, Springer-Verlag GmbH Germany, part of Springer Nature 2022. Springer Nature or its licensor holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
