微分方程与动力系统

1998-2008年就读于兰州大学并获得理学博士学位，2007年至今在兰州大学数学与统计学院工作，现为教授、应用数学专业博士生导师。研究领域为微分方程与动力系统，特别关注一些经典模型的空间传播理论。

为本科生讲授过《数学分析1-3》、《复变函数》、《实变函数》、《高等数学》等课程，为研究生讲授《动力系统》课程，与其他老师一起开设《反应扩散方程》、《单调动力系统》、《空间生态学》等研究生讨论班。截止2020年9月已经指导毕业硕士研究生12人，博士研究生1人。2020年9月在读研究生11人（博士研究生4人，硕士研究生7人）。

1.  Lin, Guo（林国）; Pan, Shuxia Periodic traveling wave solutions of periodic integrodifference systems. Discrete Contin. Dyn. Syst. Ser. B 25 (2020), no. 8, 3005-3031. 
2.  Lin, Guo（林国）; Niu, Yibin; Pan, Shuxia; Ruan, Shigui Spreading speed in an integrodifference predator-prey system without comparison principle. Bull. Math. Biol. 82 (2020), no. 5, Paper No. 53, 28 pp. 
3.  Bo, Wei-Jian; Lin, Guo（林国）; Ruan, Shigui The effect of initial values on extinction or persistence in degenerate diffusion competition systems. J. Math. Biol. 80 (2020), no. 5, 1423-1458. 
4.  Xu, Wen-Bing; Li, Wan-Tong; Lin, Guo（林国） Nonlocal dispersal cooperative systems: acceleration propagation among species. J. Differential Equations 268 (2020), no. 3, 1081-1105. 
5.  Pan, Shuxia; Lin, Guo（林国）; Wang, Jingxuan Propagation thresholds of competitive integrodifference systems. J. Difference Equ. Appl. 25 (2019), no. 12, 1680-1705. 
6.  Lin, Guo（林国）; Pan, Shuxia; Yan, Xiang-Ping Spreading speeds of epidemic models with nonlocal delays. Math. Biosci. Eng. 16 (2019), no. 6, 7562-7588. 
7.  Lin, Guo（林国） Spreading speeds and traveling wave solutions for a delayed periodic equation without quasimonotonicity. J. Dynam. Differential Equations 31 (2019), no. 4, 2275-2292. 
8.  Wang, Xinjian; Lin, Guo（林国） Traveling waves for a periodic Lotka-Volterra predator-prey system. Appl. Anal. 98 (2019), no. 14, 2619-2638. 
9.  Ducrot, Arnaud; Guo, Jong-Shenq; Lin, Guo（林国）; Pan, Shuxia The spreading speed and the minimal wave speed of a predator-prey system with nonlocal dispersal. Z. Angew. Math. Phys. 70 (2019), no. 5, Paper No. 146, 25 pp. 
10. Wang, Xinjian; Lin, Guo（林国） Asymptotic spreading for a time-periodic predator-prey system. Commun. Pure Appl. Anal. 18 (2019), no. 6, 2983-2999. 
11. Bo, Wei-Jian; Lin, Guo（林国）; Qi, Yuanwei Propagation dynamics of a time periodic diffusion equation with degenerate nonlinearity. Nonlinear Anal. Real World Appl. 45 (2019), 376-400. 
12. Bo, Wei-Jian; Lin, Guo（林国） Asymptotic spreading of time periodic competition diffusion systems. Discrete Contin. Dyn. Syst. Ser. B 23 (2018), no. 9, 3901-3914. 
13. Lin, Guo（林国）; Wang, Renhu Spatial invasion dynamics for a time period predator-prey system. Math. Methods Appl. Sci. 41 (2018), no. 17, 7612-7623. 
14. Bo, Wei-Jian; Lin, Guo（林国）; Xiong, Ben Minimal wave speed on a diffusive SIR model with nonlocal delays. Electron. J. Differential Equations 2018, Paper No. 171, 11 pp. 
15. Bo, Wei-Jian; Lin, Guo（林国）; Ruan, Shigui Traveling wave solutions for time periodic reaction-diffusion systems. Discrete Contin. Dyn. Syst. 38 (2018), no. 9, 4329-4351. 
16. Lin, Guo（林国） Minimal wave speed of competitive diffusive systems with time delays. Appl. Math. Lett. 76 (2018), 164-169. 
17. Lin, Guo（林国）; Su, Ting Asymptotic speeds of spread and traveling wave solutions of a second order integrodifference equation without monotonicity. J. Difference Equ. Appl. 22 (2016), no. 4, 542-557. 
18. Lin, Guo（林国）; Wang, Haiyan Traveling wave solutions of a reaction-diffusion equation with state-dependent delay. Commun. Pure Appl. Anal. 15 (2016), no. 2, 319-334. 
19. Lin, Guo（林国）; Ruan, Shigui Persistence and failure of complete spreading in delayed reaction-diffusion equations. Proc. Amer. Math. Soc. 144 (2016), no. 3, 1059-1072. 
20. Cheng, Cui-Ping; Li, Wan-Tong; Lin, Guo（林国） Travelling wave solutions in periodic monostable equations on a two-dimensional spatial lattice. IMA J. Appl. Math. 80 (2015), no. 4, 1254-1272. 
21. Li, Yan; Li, Wan-Tong; Lin, Guo（林国） Damped oscillating traveling waves of a diffusive SIR epidemic model. Appl. Math. Lett. 46 (2015), 89-93. 
22. Li, Yan; Li, Wan-Tong; Lin, Guo（林国） Traveling waves of a delayed diffusive SIR epidemic model. Commun. Pure Appl. Anal. 14 (2015), no. 3, 1001-1022. 
23. Lin, Guo（林国） Traveling wave solutions for integro-difference systems. J. Differential Equations 258 (2015), no. 8, 2908-2940. 
24. Lin, Guo（林国）; Ruan, Shigui Traveling wave solutions for delayed reaction-diffusion systems and applications to diffusive Lotka-Volterra competition models with distributed delays. J. Dynam. Differential Equations 26 (2014), no. 3, 583-605. 
25. Huang, Yan-Li; Lin, Guo（林国） Traveling wave solutions in a diffusive system with two preys and one predator. J. Math. Anal. Appl. 418 (2014), no. 1, 163-184. 
26. Pan, Shuxia; Lin, Guo（林国） Coinvasion-coexistence travelling wave solutions of an integro-difference competition system. J. Difference Equ. Appl. 20 (2014), no. 4, 511-525. 
27. Li, Wan-Tong; Lin, Guo（林国）; Ma, Cong; Yang, Fei-Ying Traveling wave solutions of a nonlocal delayed SIR model without outbreak threshold. Discrete Contin. Dyn. Syst. Ser. B 19 (2014), no. 2, 467-484. 
28. Lin, Guo（林国） Invasion traveling wave solutions of a predator-prey system. Nonlinear Anal. 96 (2014), 47-58. 
29. Pan, Shuxia; Lin, Guo（林国） Invasion traveling wave solutions of a competitive system with dispersal. Bound. Value Probl. 2012, 2012:120, 11 pp. 
30. Lin, Guo（林国）; Li, Wan-Tong Asymptotic spreading of competition diffusion systems: the role of interspecific competitions. European J. Appl. Math. 23 (2012), no. 6, 669-689. 
31. Lin, Guo（林国） Asymptotic spreading fastened by inter-specific coupled nonlinearities: a cooperative system. Phys. D 241 (2012), no. 6, 705-710. 
32. Lin, Guo（林国）; Li, Wan-Tong Traveling wave solutions of a competitive recursion. Discrete Contin. Dyn. Syst. Ser. B 17 (2012), no. 1, 173-189. 
33. Zhu, Fu Guo; Lin, Guo（林国） Nonexistence of traveling wave fronts of delayed nonlocal diffusion equations without quasimonotonicity. (Chinese) J. Lanzhou Univ. Nat. Sci. 47 (2011), no. 5, 90-93. 
34. Shi, Hong Bo; Li, Wan Tong; Lin, Guo（林国） Qualitative analysis of a modified Leslie-Gower predator-prey system with diffusion. (Chinese) Acta Math. Sci. Ser. A (Chin. Ed.) 31 (2011), no. 5, 1403-1415. 
35. Lin, Guo（林国） Spreading speed of the delayed Fisher equation without quasimonotonicity. Nonlinear Anal. Real World Appl. 12 (2011), no. 6, 3713-3718. 
36. Lin, Guo（林国）; Li, Wan-Tong; Ruan, Shigui Monostable wavefronts in cooperative Lotka-Volterra systems with nonlocal delays. Discrete Contin. Dyn. Syst. 31 (2011), no. 1, 1-23. 
37. Lin, Guo（林国） Spreading speeds of a Lotka-Volterra predator-prey system: the role of the predator. Nonlinear Anal. 74 (2011), no. 7, 2448-2461. 
38. Lin, Guo（林国）; Li, Wan-Tong; Ruan, Shigui Spreading speeds and traveling waves in competitive recursion systems. J. Math. Biol. 62 (2011), no. 2, 165-201. 
39. Pan, Shuxia; Lin, Guo（林国） Propagation of second order integrodifference equations with local monotonicity. Nonlinear Anal. Real World Appl. 12 (2011), no. 1, 535-544. 
40. Lin, Guo（林国） Complete bounded orbits for monostable integrodifference equations. (Chinese) J. Lanzhou Univ. Nat. Sci. 46 (2010), no. 2, 82-85, 102. 
41. Lin, Guo（林国）; Li, Wan-Tong; Pan, Shuxia Travelling wavefronts in delayed lattice dynamical systems with global interaction. J. Difference Equ. Appl. 16 (2010), no. 12, 1429-1446. 
42. Shi, Hong-Bo; Li, Wan-Tong; Lin, Guo（林国） Positive steady states of a diffusive predator-prey system with modified Holling-Tanner functional response. Nonlinear Anal. Real World Appl. 11 (2010), no. 5, 3711-3721. 
43. Lin, Guo（林国）; Li, Wan-Tong Traveling waves in delayed lattice dynamical systems with competition interactions. Nonlinear Anal. Real World Appl. 11 (2010), no. 5, 3666-3679. 
44. Li, X. S.; Lin, G. Traveling wavefronts in a single species model with nonlocal diffusion and age-structure. Turkish J. Math. 34 (2010), no. 3, 377-384. 
45. Lin, Guo（林国）; Li, WanTong; Ruan, ShiGui Asymptotic stability of monostable wavefronts in discrete-time integral recursions. Sci. China Math. 53 (2010), no. 5, 1185-1194. 
46. Lin, Guo（林国）; Li, Wan-Tong; Ma, Mingju Traveling wave solutions in delayed reaction diffusion systems with applications to multi-species models. Discrete Contin. Dyn. Syst. Ser. B 13 (2010), no. 2, 393-414. 
47. Yang, Yun-Rui; Li, Wan-Tong; Lin, Guo（林国） Persistence of traveling wave solutions in a bio-reactor model with nonlocal delays. Appl. Math. Model. 34 (2010), no. 5, 1344-1351. 
48. Pan, Shuxia; Li, Wan-Tong; Lin, Guo（林国） Existence and stability of traveling wavefronts in a nonlocal diffusion equation with delay. Nonlinear Anal. 72 (2010), no. 6, 3150-3158. 
49. Lin, Guo（林国）; Li, Wan-Tong Spreading speeds and traveling wavefronts for second order integrodifference equations. J. Math. Anal. Appl. 361 (2010), no. 2, 520-532. 
50. Pan, Shuxia; Li, Wan-Tong; Lin, Guo（林国） Travelling wave fronts in nonlocal delayed reaction-diffusion systems and applications. Z. Angew. Math. Phys. 60 (2009), no. 3, 377-392. 
51. Zhang, Guo-Bao; Li, Wan-Tong; Lin, Guo（林国） Traveling waves in delayed predator-prey systems with nonlocal diffusion and stage structure. Math. Comput. Modelling 49 (2009), no. 5-6, 1021-1029. 
52. Lin, Guo（林国）; Li, Wan-Tong Travelling wavefronts of Belousov-Zhabotinskii system with diffusion and delay. Appl. Math. Lett. 22 (2009), no. 3, 341-346. 
53. Li, Xue-Shi; Lin, Guo（林国） Traveling wavefronts in nonlocal dispersal and cooperative Lotka-Volterra system with delays. Appl. Math. Comput. 204 (2008), no. 2, 738-744. 
54. Lin, Guo（林国）; Li, Wan-Tong Bistable wavefronts in a diffusive and competitive Lotka-Volterra type system with nonlocal delays. J. Differential Equations 244 (2008), no. 3, 487-513. 
55. Lin, Guo（林国）; Li, Wan-Tong Traveling wavefronts in temporally discrete reaction-diffusion equations with delay. Nonlinear Anal. Real World Appl. 9 (2008), no. 1, 197-205. 
56. Li, Wan-Tong; Lin, Guo（林国）; Ruan, Shigui Existence of travelling wave solutions in delayed reaction-diffusion systems with applications to diffusion-competition systems. Nonlinearity 19 (2006), no. 6, 1253-1273. 

2020.1-2023.12 国家自然科学基金（面上项目，11971213），主持
2018.1-2022.12国家自然科学基金（重点项目，11731005），参与
2015.1-2018.12 国家自然科学基金（面上项目，11471149），主持
2012.1-2014.12 国家自然科学基金（青年基金，11101194），主持
2010.1-2012.12 教育部博士点基金（新教师课题，20090211120009），主持
2010.1-2010.12 国家自然科学基金（天元基金，10926090），主持
2010.1-2012.12 甘肃省自然科学基金（096RJZA051），主持

2011年获得甘肃省自然科学二等奖，3-4
2012年甘肃省高校科技进步一等奖，1-3