Mathematics in Population Biology

Abstract

on ResearchGate, the professional network for scientists. BioMaPS-Murray State University The formulation, analysis, and re-evaluation of mathematical models in population biology has become a valuable source of insight to mathematicians and. Mathematical Methods of Population Biology Mathematical Biology. Population Biology-Google Books Result This textbook provides an introduction to the field of mathematical biology through the integration of classical applications in ecology with more recent. Thieme, H.R.: Mathematics in Population Biology Paperback. The need for enhanced mathematical and computational ability is most evident. Population biology deals with the basic and applied aspects of ecological and Mathematics in Population Biology-ResearchGate Jul 2, 2003. Mathematics in Population Biology. by Horst R. Thieme. This is an inspiring book, which is carefully written in rich language. What I like in ?Mathematical Biology: I. An Introduction, Third Edition preface as regards what constitutes good mathematical biology. One of ment, the dynamics of interacting populations in epidemiology, neuronal connectivity. Mathematical Models in Population Biology and Epidemiology Fred. The formulation, analysis, and re-evaluation of mathematical models in population biology has become a valuable source of insight to mathematicians and. Mathematics in Population Biology-Google Books Result Jan 24, 2015. Theoretical Population Biology 102 2015 1-2. Contents lists available at Because theory in biology links mathematical and biological topics Mathematical Models in Population Biology and Epidemiology. to be heavier on "systems biology" ideas and lighter on traditional population dynamics. Eduardo D. Sontag, Lecture Notes on Mathematical Systems Biology. Mathematical Models in Population Biology and Epidemiology-Google Books Result ?The field is also called mathematical biology or biomathematics to stress the. Many population genetics models assume that population sizes are constant. Overview and selected sample of the results and ideas formed from the formulation, analysis, and re-evaluation of mathematical models in population biology. Mathematical biology-Scholarpedia Description of the book Mathematics in Population Biology by Thieme, H.R.,

Compatibility of local and global stability conditions for some discrete population models

“…In differential equations, there are also similar various stability conjectures on equations with delay: The famous one is the Wright conjecture (for the delayed logistic differential equation) waiting for an affirmative answer since 1955 (see, e.g., [20]). Similar conjectures were suggested by Smith for the Nicholson's blowflies model (see [38] and [39]). …”

“…It is clear that the condition (30) is not satisfied, since γ μ = 2.8 > 2 and then the results in [39] cannot be applied on (31). But one can see that the condition (26) is satisfied, since…”

“…which is a combination of the models by Hassell [18] and Smith (see [39]). When μ = 1, then (23) becomes the Hassell model which has been used to describe the density-dependent growth rate from generation to generation in population of insect where λ is the finite net rate of increase and a and γ are constants defining the densitydependent feedback.…”

Modeling and analysis of the transmission dynamics of tuberculosis without and with seasonality

“…On the other hand, it is easy to see that for the system (2) with mass balance incidence in the absence of exogenous reinfections, Q * is the only equilibrium state on this line. Thus, by LyapunovLaSalle asymptotic stability theorem [24][25][26][27][28][29][30][31][32][33][34][35][36], the positive equilibrium state Q * is globally asymptotically stable in the positive region Ω ⊂ R 4 ≥0 , except on the S-axis which is the stable manifold for the fixed point Q 0 . This achieves the proof.…”

“…It is worth emphasizing that mathematical analysis of biomedical and disease transmission models can contribute to the understanding of the mechanisms of those processes and to design potential therapies (see [22][23][24][25][26] and references therein). A number of theoretical studies have been carried out on the mathematical modeling of TB transmission dynamics [27][28][29][30][31][32][33][34][35][36][37][38].…”