5: Fractional frameworks for mathematical biology
Abstract
This chapter explores the application of fractional calculus in mathematical biology, specifically focusing on various models for phytoplankton dynamics, prey–predator interactions, and disease modeling. The mathematical models of phytoplankton dynamics are discussed, highlighting the role of fractional calculus in capturing the complex dynamics of these systems. A survey of fractional prey–predator models is conducted, examining the advantages and limitations of incorporating fractional derivatives in predator–prey interactions. The chapter then delves into disease modeling using fractional differential equations, showcasing the unique insights fractional calculus offers in understanding ...
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