Delay Differential Equations and Applications to Biology

Part I Qualitative and Quantitative Features of Delay Differential Equations: 1. Delay Differential Equations.- 2. Numerical Solutions of Delay Differential Equations.- 3. Stability Concepts of Numerical Solutions of Delay Differential Equations.- 4. Parameter Estimation with Delay Differential Equations.- Part II Applications of Delay Differential Equations: 5. Delay Differential Equations with Infectious Diseases.- 6. Delay Differential Equations with Cell Growth Dynamics.- 7. Delay Differential Equations with Tumour-Immure Interactions and External Treatments.- 8. Delay Differential Equations with Ecological Systems.- 9. Fractional-Order Delay Differential Equations with Applications.- 10. Sensitivity Analysis.

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• Cálculo integral e equações
• Cálculo diferencial e equações

delay differential equations;stability;Lyapunov functional;continuous RK methods;time-delays;mathematical modelling;continuous RK schemes;parameter estimations;sensitivity;infectious diseases;cell proliferations;least squares approach;immunology;HIV;COVID-19;biological systems;fractional-order;stochastic DDEs