Delay dynamical systems: energy growth models and epidemic issues

Using the powerful mathematical tools consisting of vector calculus, differential equations and complex functions, the dissertation describes extensively, by simulation, the scientific problems relating to the introduction of determining factors, the variation of pre-established parameters and the modulation of specific aspects in the context of symmetrical dynamic systems represented by experimental models. The discussion is divided into two sections, dedicated to the chosen instruments and means of investigation (tools) respectively to the selected applications and to the study substrates (works), and is divided into three parts, distinguished according to the prevailing spheres of interest (since a segregation of the topics into completely separate compartments would be ontologically impossible, due to the very dense logical embrications and the very rich technical implications), including seven documents, for the most part already published in relevant sectorial scientific journals. In the first part on expounds the reference works: Stability and Hopf Bifurcation Analysis of a Distributed Time Delay Energy Model for Sustainable Economic Growth; Bifurcation Analysis of a Transportation Network for Energy with Distributed Delayed Carrying Capacity; and Dynamics of a Delayed Mathematical Model for One Predator Sharing Teams of Two Preys, highlighting the consequences of the insertion of delays and the effects of bifurcations in symmetrical dynamic systems represented by models of sustainable economic growth, of energy distribution networks with delayed transport capacity and of closed ecosystems with one predator and two preys struggling for survival. In the second part on examines the reference works: Complex Dynamics of a Model with R&D Competition; and Hopf Bifurcation Analysis in a Modified R&D Model with Delay; underlining the effects of the insertion of delays and the variability of dichotomous solutions in models with two competing departments subjects to opportunistic collaboration according to complex Dynamics of game theory. In the third part on explains the reference works: Multi-Attribute Decision Making Based on Interval-Valued Trapezoidal Neutrosophic Number and its Application in the Diagnosis of Viral Flu; and Analysis on Additional Environmental Stress - PPE Kit Disposal During Pandemic, A Dual Hesitant q-rung Orthopair MARCOS Methodology under Uncertainty, by interconnecting a multidisciplinary heterogeneous polymorphous miscellany, which unites disparate subjects (diagnosis of viral flu based on indistinct clinical symptoms, additional environmental pollution in the disposal of personal protective equipment or difficulties in taking collegiate top decisions in conditions of uncertainty) connected or reconnectable with the present ones pandemic issues

Utilizzando i potenti strumenti matematici costituiti dal calcolo vettoriale, dalle equazioni differenziali e dalle funzioni complesse, la dissertazione descrive diffusamente, per simulazione, le problematiche scientifiche relative all’introduzione di fattori determinanti, alla variazione di parametri prestabiliti e alla modulazione di aspetti specifici nell’ambito di sistemi dinamici simmetrici rappresentati attraverso modelli sperimentali. La trattazione si articola in due sezioni, dedicate alle strumentazioni e ai mezzi di indagine prescelti (tools) rispettivamente alle applicazioni e ai substrati di studio selezionati (works), e si suddivide in tre parti, distinte in base alle prevalenti sfere di interesse (poiché una segregazione degli argomenti in compartimenti completamente separati risulterebbe ontologicamente impossibile, per le fittissime embricazioni logiche e per le ricchissime implicazioni tecniche), comprendenti sette documenti, in massima parte già pubblicati su rilevanti riviste scientifiche settoriali. Nella prima parte si espongono i lavori di riferimento: Stability and Hopf Bifurcation Analysis of a Distributed Time Delay Energy Model for Sustainable Economic Growth; Bifurcation Analysis of a Transportation Network for Energy with Distributed Delayed Carrying Capacity; e Dynamics of a Delayed Mathematical Model for One Predator Sharing Teams of Two Preys, evidenziando le conseguenze degli inserimenti dei ritardi e gli effetti delle biforcazioni in sistemi dinamici simmetrici rappresentati attraverso modelli matematici di crescita economica sostenibile, di reti di distribuzione energetica con ritardi nella capacità di trasporto e di ecosistemi chiusi con un predatore e due prede in contrasto. Nella seconda parte si esaminano i lavori di riferimento: Complex Dynamics of a Model with R&D Competition; e Hopf Bifurcation Analysis in a Modified R&D Model with Delay, sottolineando gli effetti dei ritardi e delle biforcazioni nello sviluppo di dinamiche complesse in modelli con due reparti in contrapposizione, ma non restii a collaborazioni opportunistiche, secondo la teoria dei giochi. Nella terza parte si esplicano i lavori di riferimento: Multi-Attribute Decision Making Based on Interval-Valued Trapezoidal Neutrosophic Number and its Application in the Diagnosis of Viral Flu; e Analysis on Additional Environmental Stress - PPE Kit Disposal During Pandemic, A Dual Hesitant q-rung Orthopair MARCOS Methodology under Uncertainty, interconnettendo una miscellanea multidisciplinare eterogenea polimorfa di attualità, che accomuna temi disparati (diagnosi di influenza virale basate su sintomatologie cliniche evanescenti, inquinamento ambientale aggiuntivo nello smaltimento di equipaggiamenti protettivi personali o difficoltà nell’assunzione di decisioni apicali collegiali in condizioni di incertezza) collegati o ricollegabili con le presenti problematiche pandemiche