2017 Summer Undergraduate Research Program in Mathematics
(2017 SURPMUSM)
Department of Mathematics
University of Southern Mississippi
2017 SURPMUSM Tentative Schedule (June 19 to August 4, 2017) 
Reference: 1. How to Read a Paper. 2. How to do a technical reading program. 3. Find references: Google Scholar; USM library; MathSciNet (some of them only can be accessed on USM campus) 
Project 1: Central Configurations in Celestial Mechanics 
Some research questions can be asked: (A) For collinear fivebody problem, what is the possible collinear configuration which can become to a central configuration for some positive masses? Can one get similar results as in paper 3 (B) For planar sixbody problem with three on an equilateral triangle and three on another equilateral triangle, how do they form a stack central configurations? See reference 8. (C) Existence of Super Central Configurations: Can one get similar results as in paper 9 for collinear fivebody problem or general nbody problem?
2. Richard Moeckel, Lecture Notes on Central Configurations. 3. Tiancheng Ouyang, Zhifu Xie, Collinear Central Configuration in Fourbody probelm 4. Mervin Woodlin, Zhifu Xie, Collinear Central Configuration in the nbody..... 5. F.R. Moulton, The straight line solutions of the problem of n bodies. 6. Alain Albouy, Richard Moeckel, Inverse problem for collinear central configurations 8. J. Llibre, L. Mello, E. PerezChavela, New Stacked CC For Planar 5body problem 9. Zhifu Xie, Super Central configurations of the nbody problem. 
Project 2: Allee Effects and Chaos in a Food Chain Model 
2. (HX) D. Haile, Z. Xie, Longtime behavior and Turing instability induced by crossdiffusion in a three species food chain model with a Holling typeII functional response. 3. (PMV) S.V. Petrovskii, A.Y. Morozov, E. Venturino, Allee effect makes possible patchy invasion in a predatorprey system. 4. (RK) F. Rao, Y. Kang, The complex dynamics of a diffusive preypredator model with an Allee effect in prey 5. (WSW) J.F. Wang, J.P. Shi, J.J. Wei, Predatorprey system with strong Allee effect in prey. 6.(MR) Book: R. M. May, Stability and complexity in model ecosystems, Princeton University Press, Princeton, New Jersey, 1987. 
Any Questions? Please Free to Contact Dr. Zhifu Xie.  

Previous Cross Scholarship Recipients: 

Students Final Presentation : 

What skills do employers most look for in graduates? 
The 10 Skills Employers Most Want In 2015 Graduates (Forbes, Nov. 12, 2014).

Benefits of an Undergraduate Research Experience in Mathematics! 
