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References:
(a) Book and survey papers:
1. Y. Du, Order Structure and Topological Methods in Nonlinear Partial
Differential Equations, Vol. 1, World Scientific, 2006. (Chatper 5, see
also the appendix for background material in PDE)
2. Y. Du and J. Shi, Some recent results on diffusive predator-prey
models in spatially heterogeneous environment, in Nonlinear Dynamics and
Evolution Equations, Eds. Hermann Brunner, Xiao-Qiang Zhao and Xingfu
Zou, Fields Institute Communications Vol. 48, American Math. Soc., 2006,
pp. 95-135.
3. Y. Du, Bifurcation and related topics in elliptic problems, Handbook
for
Partial Diff. Eqns.-Stationary Partial Differential Equations, Vol.
2, Eds. M. Chipot and P. Quittner, Elsevier, 2005, pp.127-209. (Section
3)
4. Y. Du, Spatial patterns for population models in a heterogeneous
environment, Taiwanese J. Math., 8(2004), 155-182.
(b) Research papers:
1. Y. Du and Xing Liang, A diffusive competition model with a protection
zone, preprint.
2. Y. Du and Junping Shi, A diffusive predator-prey model with a
protection zone, J. Diff. Eqns., 229(2006), 63-91.
3. Y. Du and Z-M. Guo, The degenerate logistic model and a singularly
mixed boundary blow-up problem, Discrete and Continuous Dynamical
Systems, 14(2006), 1-29.
4. Y. Du and S.B. Hsu, A diffusive predator-prey model in heterogeneous
environment, J. Diff. Eqns., 203(2004), 331-364.
5. Y. Du, Realization of prescribed patterns in the competition model,
J. Diff. Eqns., 193(2003), 147-179.
6. Y. Du and Shujie Li, Positive solutions with prescribed patterns in
some simple semilinear equations, Diff. Integral Eqns. 15(2002),
805-822.
7. Y. Du, Effects of a degeneracy in the competition model, part I and
II, J. Diff. Eqns., 181(2002), 92-164.
8. E.N. Dancer and Y. Du, Effects of certain degeneracies in the
predator-prey model, SIAM J Math. Anal., 34(2002), 292-314.
9. Y. Du and Q. Huang, Blow-up solutions for a class of semilinear
elliptic and parabolic equations, SIAM J. Math. Anal., 31(1999), 1-18. |