Titlebook: An Invitation to Mathematical Biology; David G Costa,Paul J Schulte Textbook 2023 The Editor(s) (if applicable) and The Author(s), under e

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Fixed Points, Stability, and Cobwebbing, in Eq. .. In this chapter, we shall consider a general form of a Discrete Time Model (also called a “Discrete Dynamical System” in mathematics). We will introduce methods for determining the fixed points (values of the population size (.) which do not change for future time steps), and the stabilit

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Organism-Organism Interaction Models,manner. The nature of the interactions can take on several forms (see Beltrami 1987; Murray 2002). Organisms can compete for resources, they can involve one group that is a predator and the other a prey, or they may have an interaction that is beneficial to both groups, termed a mutualism. First, le

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Infectious Disease Models,ous diseases is likely to be quite enhanced. Therefore, this chapter will provide an introduction to some of the mathematical modeling approaches to the spread and dynamics of infectious diseases among the human population.

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Organism Environment Interactions,ght absorbed or radiation emitted at infrared wavelengths), exchange with the air or other fluids in convection, heat conducted between the organism and a physical surface, and energy associated with the evaporation of water through its latent heat of vaporization. In this chapter, we will consider

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Discrete Time Models,ue to competition for food and, as a consequence, the population also started to grow at a slower pace tending more and more to stabilize in growth. In this chapter, we will present a general model for such growth along with two alternative models.

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Textbook 2023introductory course.? Although there are many good mathematical biology texts available, most books are too advanced mathematically for most biology majors.? Unlike undergraduate math majors, most biology major students possess a limited math background. Given that computational biology is a rapidly