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- Edoardo Beretta, Yang Kuang
- SIAM J. Math. Analysis
- 2002

In most applications of delay differential equations in population dynamics, the need of incorporation of time delays is often the result of the existence of some stage structure. Since theâ€¦ (More)

- Irakli Loladze, Yang Kuang, James J. Elser
- Bulletin of mathematical biology
- 2000

All organisms are composed of multiple chemical elements such as carbon, nitrogen and phosphorus. While energy flow and element cycling are two fundamental and unifying principles in ecosystemâ€¦ (More)

- Jiaxu Li, Yang Kuang, Clinton C. Mason
- Journal of theoretical biology
- 2006

In the glucose-insulin regulatory system, ultradian insulin secretory oscillations are observed to have a period of 50-150 min. After pioneering work traced back to the 1960s, several mathematicalâ€¦ (More)

- Stephen A. Gourley, Yang Kuang
- Journal of mathematical biology
- 2004

Many of the existing models on stage structured populations are single species models or models which assume a constant resource supply. In reality, growth is a combined result of birth and deathâ€¦ (More)

Ratio-dependent predatorâ€”prey models are favored by many animal ecologists recently as more suitable ones for predatorâ€”prey interactions where predation involves searching process. However, suchâ€¦ (More)

- E. Beretta, Yang Kuang
- Mathematical biosciences
- 1998

A mathematical model for the marine bacteriophage infection is proposed and its essential mathematical features are analyzed. Since bacteriophage infection induces bacterial lysis which releases intoâ€¦ (More)

- Jiaxu Li, Yang Kuang
- SIAM Journal of Applied Mathematics
- 2007

We continue a recent attempt to better understand the glucose-insulin regulatory system via a mathematical model of delay differential equations with two discrete time delays. With explicit delays,â€¦ (More)

- A. Makroglou, Jiaxu Li, Yang Kuang
- 2005

An overview of some of the mathematical models appearing in the literature for use in the glucose-insulin regulatory system in relation to diabetes is given, enhanced with a survey on availableâ€¦ (More)

We formulate and study an one dimensional single species diffusive delay population model. The time delay is the time taken from birth to maturity. Without diffusion, the delay differential model isâ€¦ (More)

- S. B. Hsu, Tony W Hwang, Yang Kuang
- Journal of mathematical biology
- 2001

The recent broad interest on ratio-dependent based predator functional response calls for detailed qualitative study on ratio-dependent predator-prey differential systems. A first such attempt isâ€¦ (More)