James F Selgrade

Mechanistic model of hormonal contraception

PLOS COMPUTATIONAL BIOLOGY, 16(6).

A model of ovulatory regulation examining the effects of insulin-mediated testosterone production on ovulatory function

JOURNAL OF THEORETICAL BIOLOGY, 416, 149–160.

A delay differential equation model of follicle waves in women

JOURNAL OF BIOLOGICAL DYNAMICS, 10(1), 200–221.

Bifurcation analysis of a menstrual cycle model reveals multiple mechanisms linking testosterone and classical PCOS

JOURNAL OF THEORETICAL BIOLOGY, 361, 31–40.

Modeling Endocrine Control of the Pituitary-Ovarian Axis: Androgenic Influence and Chaotic Dynamics

BULLETIN OF MATHEMATICAL BIOLOGY, 76(1), 136–156.

Modeling endocrine regulation of the menstrual cycle using delay differential equations

MATHEMATICAL BIOSCIENCES, 257, 11–22.

A lifelong model for the female reproductive cycle with an antimullerian hormone treatment to delay menopause

JOURNAL OF THEORETICAL BIOLOGY, 326, 21–35.

Dynamics and bifurcation of a model for hormonal control of the menstrual cycle with inhibin delay

MATHEMATICAL BIOSCIENCES, 234(2), 95–107.

Bifurcation analysis of a model for hormonal regulation of the menstrual cycle

MATHEMATICAL BIOSCIENCES, 225(2), 108–114.

A model for hormonal control of the menstrual cycle: Structural consistency but sensitivity with regard to data

JOURNAL OF THEORETICAL BIOLOGY, 260(4), 572–580.

Dynamical behaviour of a discrete selection-migration model with arbitrary dominance

JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS, 15(4), 371–385.

Global attractors for a discrete selection model with periodic immigration

Selgrade, J. F., & Roberds, J. H. (2007, April). JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS, Vol. 13, pp. 275–287.

On a system of rational difference equations

JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS, 11(7), 565–580.

Results on asymptotic behaviour for discrete, two-patch metapopulations with density-dependent selection

JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS, 11(4-5), 459–476.

Attractors for discrete periodic dynamical systems

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 286(1), 64–79.

Global asymptotic behavior of a two-dimensional difference equation modelling competition

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 52(7), 1765–1776.

Multiple stable periodic solutions in a model for hormonal control of the menstrual cycle

BULLETIN OF MATHEMATICAL BIOLOGY, 65(1), 157–173.

On the structure of attractors for discrete, periodically forced systems with applications to population models

PHYSICA D, 158(1-4), 69–82.

A model of gonadotropin regulation during the menstrual cycle in women: Qualitative features

ENVIRONMENTAL HEALTH PERSPECTIVES, 108, 873–881.

Dynamical analysis of density-dependent selection in a discrete one-island migration model

MATHEMATICAL BIOSCIENCES, 164(1), 1–15.

Using stocking or harvesting to reverse period-doubling bifurcations in discrete population models

JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS, 4(2), 163–183.

Period-doubling bifurcations for systems of difference equations and applications to models in population biology

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 29(2), 185–199.

Dynamical behavior for population genetics models of differential and difference equations with nonmonotone fitnesses

Journal of Mathematical Biology, 30(8), 815.

CONVERGENCE TO EQUILIBRIUM IN A GENETIC MODEL WITH DIFFERENTIAL VIABILITY BETWEEN THE SEXES

JOURNAL OF MATHEMATICAL BIOLOGY, 25(5), 477–490.

Dynamical behavior of differential equation models of frequency and density dependent populations

Journal of Mathematical Biology, 19(1), 133.