Qualitative and Quantitative Features of Delay Differential Equations with Biological systems
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Organizer(s): |
Name:
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Affiliation:
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Country:
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Fathalla Rihan
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United Arab Emirates University
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United Arab Emirates
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Yang Kuang
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Arizona State University
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USA
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Gennady Bocharov
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Russian Academy of Sciences
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Russia
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Abstract:
| | Delay differential equations (DDEs) is a class of differential equations that have received considerable attention and been shown to model many real life problems, traditionally formulated by systems of ordinary differential equations (ODEs), more naturally and more accurately. Such class of DDEs is widely used for analysis and predictions of systems with memory such as population dynamics, epidemiology, immunology, physiology, neural networks and other biological and physical systems. In most of biological and engineering systems, time-lags or time-delays exist intrinsically. Therefore, modelling of such systems by differential equations with memory, represented by time-delays (time-lags) has more advantages than models without memory. The presence of memory in the differential equations improves the stability of the solutions and enrich the dynamics of the model. The aim of this special session is to provide an opportunity to study the new trends and analytical insights of the delay differential equations with biological systems, including existence and uniqueness of the solutions, boundedness and persistence, oscillatory behaviour of the solutions, stability and bifurcation analysis, parameter estimations and sensitivity analysis, and numerical investigations of solutions. |
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List of approved abstract |
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