| Abstract: |
| The impact of infectious diseases on human and animal is enormous, both in terms of suffering and social and economic consequences. In this talk, we provide some mathematical models using delay differential equations in immunology, physiology, epidemiology, tumour-immune interactions in presence of treatments and optimal control. We investigate qualitative and quantitative features of such class of differential equations in dynamic diseases. We also study parameter estimations and sensitivity analysis of such models. Sensitivity analysis is an important tool for understanding a particular model, which is considered as an issue of stability with respect to structural perturbations in the model. Some numerical simulations are provided to show the consistency of delay differential equations with biological systems with memory.
Keywords: DDEs, Epidemiology; Immunology; Physiology; Optimal control; Parameter estimation; Sensitivity; Time-lags; Tumour-immune system |
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