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- H. I. Freedman, Gail S. K. Wolkowicz
- Bulletin of mathematical biology
- 1986

- Gail S. K. Wolkowicz, Huaxing Xia
- SIAM Journal of Applied Mathematics
- 1997

This paper studies the global asymptotic behavior of an exploitative competition model between n species in a chemostat. The model incorporates discrete time delays to describe the delay in theâ€¦ (More)

- Huaiping Zhu, Sue Ann Campbell, Gail S. K. Wolkowicz
- SIAM Journal of Applied Mathematics
- 2003

We consider a predator-prey system with nonmonotonic functional response: p(x) = mx ax2+bx+1 . By allowing b to be negative (b > âˆ’2âˆša), p(x) is concave up for small values of x > 0 as it is for theâ€¦ (More)

- Gail S. K. Wolkowicz
- Mathematical biosciences
- 1989

A food web in a chemostat is considered in which an arbitrary number of competitor populations compete for a single, essential, nonreproducing, growth-limiting substrate, and an arbitrary number ofâ€¦ (More)

A model of competit ion between plasmid-bearing and plasmid-free organisms in a chemostat was proposed in a paper of Stephanopoulis and Lapidus. The model was in the form of a system of nonlinearâ€¦ (More)

- Mary M. Ballyk, Gail S. K. Wolkowicz
- Mathematical biosciences
- 1993

After formulating a general model involving two populations of microorganisms competing for two nonreproducing, growth-limiting resources in a chemostat, we focus on perfectly substitutableâ€¦ (More)

- Gail S. K. Wolkowicz, Huaxing Xia, Shigui Ruan
- SIAM Journal of Applied Mathematics
- 1997

In this paper, we propose a two species competition model in a chemostat that uses a distributed delay to model the lag in the process of nutrient conversion and study the global asymptotic behaviorâ€¦ (More)

In this paper, we consider a delayed system of differential equations modeling two neurons: one is excitatory, the other is inhibitory. We study the stability and bifurcations of the trivialâ€¦ (More)

- Julien Arino, Lin Wang, Gail S. K. Wolkowicz
- Journal of theoretical biology
- 2006

We derive an alternative expression for a delayed logistic equation, assuming that the rate of change of the population depends on three components: growth, death, and intraspecific competition, withâ€¦ (More)

A chemostat model of a single species feeding on a limiting nutrient supplied at a constant rate is proposed. The model incorporates a general nutrient uptake function and a distributed delay. Theâ€¦ (More)