Dynamical bifurcation of a sewage treatment model with general higher-order perturbation

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dc.contributor.authorYassine Sabbar
dc.contributor.authorAnwar Zeb
dc.contributor.authorDriss Kiouach
dc.contributor.authorNadia Gul
dc.contributor.authorThanin Sitthiwirattham
dc.contributor.authorDumitru Baleanu
dc.contributor.authorJiraporn Pongsopa
dc.contributor.correspondenceA. Zeb; Department of Mathematics, COMSATS University of Islamabad, Abbottabad Campus, Abbottabad, Khyber Pakhtunkhwa, Pakistan; email: anwar@cuiatd.edu.pk
dc.date.accessioned2025-03-10T07:35:06Z
dc.date.available2025-03-10T07:35:06Z
dc.date.issued2022
dc.description.abstractIn this research, we expose new results on the dynamics of a high disturbed chemostat model for industrial wastewater. Due to the complexity of heavy and erratic environmental variations, we take into consideration the polynomial perturbation. We scout the asymptotic characterization of our proposed system with a general interference response. It is demonstrated that the long-run characteristics of the chemostat process are classified by using the threshold classification approach. If the critical sill is strictly negative, the bacteria will disappear exponentially, indicating that the chemostat wastewater process is not running (excluded scenario), otherwise, the stationarity and ergodicity properties of our model are verified (practical scenario). The theoretical arsenal of this work offers a comprehensive overview of the industrial wastewater behavior under general hypotheses and introduces novel technical aspects to deal with other perturbed systems in biology. Numerically, we audit the accuracy of our threshold in three particular situations: linear, quadratic and cubic perturbations. We establish that the increasing order of disturbance has a passive influence on the extinction time of bacteria. This finding highlights that complex noise sources fulfill a significant role in the transient dynamics of chemostat systems. © 2022 The Author(s)
dc.identifier.citationResults in Physics
dc.identifier.doi10.1016/j.rinp.2022.105799
dc.identifier.issn22113797
dc.identifier.scopus2-s2.0-85134543054
dc.identifier.urihttps://repository.dusit.ac.th//handle/123456789/4605
dc.languageEnglish
dc.publisherElsevier B.V.
dc.rightsAll Open Access; Gold Open Access
dc.rights.holderScopus
dc.subjectChemostat model
dc.subjectDynamics
dc.subjectHigher-order perturbation
dc.subjectStochastic process
dc.subjectWastewater
dc.titleDynamical bifurcation of a sewage treatment model with general higher-order perturbation
dc.typeArticle
mods.location.urlhttps://www.scopus.com/inward/record.uri?eid=2-s2.0-85134543054&doi=10.1016%2fj.rinp.2022.105799&partnerID=40&md5=8c210111fa7a2fe6204e93438e810d0f
oaire.citation.volume39
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