MonographDOI
Mathematical Models in Biology
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TLDR
The theory of linear difference equations applied to population growth and the applications of nonlinear difference equations to population biology are explained.Abstract:
Part I. Discrete Process in Biology: 1. The theory of linear difference equations applied to population growth 2. Nonlinear difference equations 3. Applications of nonlinear difference equations to population biology Part II. Continuous Processes and Ordinary Differential Equations: 4. An introduction to continuous models 5. Phase-plane methods and qualitative solutions 6. Applications of continuous models to population dynamics 7. Models for molecular events 8. Limit cycles, oscillations, and excitable systems Part III. Spatially Distributed Systems and Partial Differential Equation Models: 9. An introduction to partial differential equations and diffusion in biological settings 10. Partial differential equation models in biology 11. Models for development and pattern formation in biological systems Selected answers Author index Subject index.read more
Citations
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Journal ArticleDOI
Parasitism and host patch selection: A model using aggregation methods
TL;DR: This first application of the aggregation methods to epidemiology is very promising because these methods allow us to deal with more real assumptions about the behavioural interplay between hosts and parasites.
Journal ArticleDOI
Population dynamics of Musca domestica (Diptera: Muscidae): experimental and theoretical studies at different temperatures
TL;DR: The population dynamics of M. domestica was evaluated at two different temperatures, 20 and 30 0 C, and the population dynamics was characterized by a stable equilibrium at both temperatures, however, the steady state was influenced by the results obtained at different temperatures.
Book
Methods of Applied Mathematics for Engineers and Scientists
TL;DR: Tomas Co's Engineering Mathematics textbook as mentioned in this paper is rich with examples, applications, and exercises, and uses analytical approaches to solve smaller problems to provide mathematical insight and understanding, and numerical methods for large and complex problems.
Journal ArticleDOI
Sex ratio and dynamic behavior in populations of the exotic blowfly Chrysomya albiceps (Diptera, Calliphoridae).
TL;DR: The impact of changes in sex ratio on the dynamic behavior of C. albiceps was evaluated using a density-dependent mathematical model that incorporated demographic parameters such as survival and fecundity, which indicated the evolution of stable equilibrium points as a function of sex ratio.
Journal ArticleDOI
Describing interactive growth using vector universalities
L. Barberis,C. A. Condat +1 more
TL;DR: This work uses a vector formulation of the Phenomenological Universalities to characterize the joint growth of two or more interacting organisms and assess the direct mutual influences between them, as well as the indirect influences that operate through environment modifications.