Qualitative and Quantitative Features of Delay Differential Equations and Their Applications
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Organizer(s): |
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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:
| | In recent years, delay differential equations (DDEs) have received considerable attention for their ability to model many real-life problems, which are traditionally formulated using ordinary differential equations (ODEs), more accurately and naturally. In population dynamics, epidemiology, immunology, physiology, neural networks, and other biological and physical systems, such a class of DDEs is widely used. It is intrinsic to most biological and engineering systems that there are time delays or lags. As a consequence, differential equations with memory, represented by time delays (time lags), are more advantageous than models without memory. Adding memory to differential equations improves their stability and enriches their dynamics. It is the aim of this special session to explore the new trends and analytical insights of delay differential equations with biological systems, including the existence and uniqueness of solutions, their boundedness and persistence, their oscillatory behavior, their stability and bifurcation analyses, their parameter estimations and sensitivity analyses, and their numerical analysis. |
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List of approved abstract |
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