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- Hans F. Weinberger, Mark A. Lewis, Bingtuan Li
- Journal of mathematical biology
- 2002

The discrete-time recursion system u_[n+1]=Q[u_n] with u_n(x) a vector of population distributions of species and Q an operator which models the growth, interaction, and migration of the species isâ€¦ (More)

- Mark A. Lewis, Bingtuan Li, Hans F. Weinberger
- Journal of mathematical biology
- 2002

One crucial measure of a species' invasiveness is the rate at which it spreads into a competitor's environment. A heuristic spread rate formula for a spatially explicit, two-species competition modelâ€¦ (More)

- Bingtuan Li, Hans F. Weinberger, Mark A. Lewis
- Mathematical biosciences
- 2005

It is well known that in many scalar models for the spread of a fitter phenotype or species into the territory of a less fit one, the asymptotic spreading speed can be characterized as the lowestâ€¦ (More)

- Bingtuan Li
- SIAM Journal of Applied Mathematics
- 1998

In this paper, we consider a competition model between n species in a chemostat that incorporates both monotone and nonmonotone general response functions and distinct removal rates. We show thatâ€¦ (More)

- Bingtuan Li, Mark A. Lewis, Hans F. Weinberger
- Journal of mathematical biology
- 2009

A class of integral recursion models for the growth and spread of a synchronized single-species population is studied. It is well known that if there is no overcompensation in the fecundity function,â€¦ (More)

- Bingtuan Li, Yang Kuang
- 2000

In this paper, we consider a model describing predator]prey interactions in a chemostat that incorporates both general response functions and distinct removal rates. In this case, the conservationâ€¦ (More)

- Bingtuan Li
- Mathematical biosciences
- 2001

A chemostat model of three species of microorganisms competing for three essential, growth-limiting nutrients is considered. J. Husiman and F.J. Weissing [Nature 402 (1999) 407] show numerically thatâ€¦ (More)

- Bingtuan Li, Hal L. Smith
- Journal of mathematical biology
- 2007

We study a chemostat model that describes competition between two species for two essential resources based on storage. The model incorporates internal resource storage variables that serve theâ€¦ (More)

- Bingtuan Li, Hal L. Smith
- SIAM Journal of Applied Mathematics
- 2001

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

The existence of a heteroclinic bifurcation for the Michaelisâ€“Menten-type ratiodependent predator-prey system is rigorously established. Limit cycles related to the heteroclinic bifurcation are alsoâ€¦ (More)