周軍

周軍，男。漢族，副教授，碩士研究生導師。2004年6月畢業於四川大學，獲碩士學位。2011年6月畢業於重慶大學，獲博士學位。主要從事非線性橢圓和拋物方程解的漸近性質，非線性反應擴散方程解的平衡態模式等問題的研究。作為主持人承擔了國家自然科學基金項目兩項，中央高校基本科研業務費重點項目和一般項目各一項，西南大學博士基金項目和青年基金項目各一項，作為主研人參與國家自然科學基金兩項，重慶市自然科學基金一項。現已在多 個國內外重要數學期刊上發表論文50餘篇，其中SCI收錄40篇。

• 科研成果

一、項目

項目來源 項目類型 項目編號 項目名稱 負責人 開始年月 結束年月 項目總經費 本人排名 立項批文

其它 一般項目 SWU111021 多種群強藕合的種群動態模型的穩定性分析 周軍 2011/09 2013/08 5萬元 1/1

其它 重點項目 XDJK2012B007 非線性反應擴散方程解的平衡態模式 周軍 2012/01 2014/12 10萬元 1/5 查看

省科技廳項目 面上項目 第二批 帶有交錯 擴散的生物種群模型的分析與模擬 周軍 2014/06 2016/05 12萬元 1/1

部委級科研項目 面上項目 2014M550453 種群模型中的非線性擴散方程的平衡態模式的定性分析 周軍 2014/05 2015/07 8萬元 1/1

國家自然科學基金 青年項目 11201380 帶有交錯擴散的種群模型的平衡態模式 周軍 2013/01 2015/12 22萬元 1/4 查看

國家自然科學基金 一般項目 11126141 非線性拋物方程解的奇異性質 周軍 2012/01 2012/12 3萬元 1/3 查看

二、論文

作者姓名 通訊作者 題目 期刊名稱 年卷期 起止頁碼 收錄類型 影響因子 掃描上傳

Jun Zhou, Chunlai Mu 作者1 Global existence and blow-up to a degenerate reaction-diffusion system with nonlinear memory Nonlinear Anal. Real World Appl. 9 (2008), no. 4 1518–1534 SCI 2.043

C. Mu, Jun Zhou, Y.L 作者1 Fast rate of dead core for fast diffusion equation with strong absorption Commun. Pure Appl. Anal. 9 (2010), no. 2 397–411 SCI 0.692

Jun Zhou, Chunlai Mu 作者1 Asymptotic analysis to blow-up points for the porous medium equation with a weighted non-local source Appl. Anal. 88 (2009), no. 1 111–120 SCI 0.744

Jun Zhou, Y.He,C.Mu 作者1 Incomplete quenching of heat equations with absorption Appl. Anal. 87 (2008), no. 5 523–529 SCI 0.744

Jun Zhou, Chunlai Mu 作者1 Algebraic criteria for global existence or blow-up for a boundary coupled system of nonlinear diffusion equations Appl. Anal. 86 (2007), no. 10 1185–1197 SCI 0.744

Jun Zhou 作者1 Positive steady state solutions of a Leslie–Gower predator–prey model with Holling type II functional response and density-dependent diffusion Nonlinear Analysis 82(2013) 47-65 SCI 1.536

Jun Zhou, Chunlai Mu 作者1 The lifespan for 3D quasilinear wave equations with nonlinear damping terms Nonlinear Anal. 74 (2011), no.16 5455–5466 SCI 1.536

Jun Zhou, Chunlai Mu 作者1 Uniform blow-up profiles and boundary layer for a parabolic system with localized sources Nonlinear Anal. 69 (2008), no. 1 24–34 SCI 1.536

Jun Zhou, Chunlai Mu 作者1 The critical curve for a non-Newtonian polytropic filtration system coupled via nonlinear boundary flux Nonlinear Anal. 68 (2008), no. 1 1-11 SCI 1.536

Zhou, Jun Zhou, Jun Spatiotemporal pattern formation of a diffusive bimolecular model with autocatalysis and saturation law COMPUTERS & MATHEMATICS WITH APPLICATIONS 66(2013) 2003-2018 SCI

Zhou, Jun Zhou, Jun Positive solutions of a diffusive Leslie-Gower predator-prey model with Bazykin functional response ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK 66(2014) 1-18 SCI

Jun Zhou, Chan-Gyun Kim Jun Zhou Positive Solutions for a Lotka–Volterra Prey–Predator Model with Cross-Diffusion of Fractional Type Results. Math. 65(2014) 293-320 SCI

Zhou, Jun Zhou, Jun Global existence and blowup for a degenerate and singular parabolic system with nonlocal source and absorptions ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK 65(2014) 449-469 SCI

Jun Zhou et. al. 作者1 Global existence and blowup of solutions for a class of nonlinear higher-order wave equations Z. Angew. Math. Phys. 63 (2012) 461-473 SCI 0.951

Jun Zhou, Chunlai Mu 作者1 Global existence and blow-up for weakly coupled degenerate and singular parabolic equations with localized source Z. Angew. Math. Phys. 62 (2011), no. 1 47–66 SCI 0.951

Zhou Jun, Kim, Chan-Gyun Zhou Jun Positive solutions for a Lotka-Volterra prey-predator model with cross-diffusion and Holling type-II functional response SCIENCE CHINA-MATHEMATICS 57(2014) 991-1010 SCI

Jun Zhou, Chunlai Mu 作者1 Blowup for a degenerate and singular parabolic equation with non-local source and absorption Glasg. Math. J. 52 (2010), no. 2 209–225 SCI 0.571

Zhou, Jun; Kim, Chan-Gyun Zhou, Jun MULTIPLE SOLUTIONS FOR A p-LAPLACIAN SYSTEM WITH NONLINEAR BOUNDARY CONDITIONS BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY 51(2014) 99-113 SCI

Jun Zhou 作者1 Global asymptotic stability of positive steady states of an n-dimensional ratio-dependent predator-prey system with diffusion Bull. Korean Math. Soc. 50(2013) 1847-1854 SCI 0.388

Jun Zhou, Chunlai Mu 作者1 Critical blow-up and extinction exponents for non-Newton polytropic filtration equation with source Bull. Korean Math. Soc. 46 (2009), no. 6 1159–1173 SCI 0.244

Jun Zhou Jun Zhou Lower bounds for blow-up time of two nonlinear wave equations Appl. Math. Letters 45(2015) 64-68 SCI

Jun Zhou 作者1 positive solutions of a diffusive predator-prey model with modefied Leslie-Gower and Holling-type II schemes J. Math. Anal. Appl. 389 (2012), no. 2 1380–1393 SCI 1.001

Jun Zhou, Chunlai Mu 作者1 Coexistence of a diffusive predator-prey model with Holling type-II functional response and density dependent mortality J. Math. Anal. Appl. 385 (2012), no. 2 913–927 SCI 1.001

Jun Zhou, Chunlai M 作者1 Corrigendum to “Coexistence states of a Holling type-II predator–prey system” [J. Math. Anal. Appl. 369 (2) (2010) 555–563] J. Math. Anal. Appl. 383 (2011), no. 2 636–639 SCI 1.001

Jun Zhou Jun Zhou The second critical exponent for a nonlocal porous medium equation in RN Appl. Math. Letters 38(2014) 43-47 SCI

Jun Zhou, Chunlai Mu 作者1 Coexistence states of a Holling type-II predator-prey system J. Math. Anal. Appl. 369 (2010), no. 2 555–563 SCI 1.001

Jun Zhou, Chunlai Mu 作者1 Pattern formation of a coupled two-cell Brusselator model J. Math. Anal. Appl. 366 (2010), no. 2 679–693 SCI 1.001

Zhou, Jun,Kim, Chan-Gyun,Shi, Junping Zhou, Jun POSITIVE STEADY STATE SOLUTIONS OF A DIFFUSIVE LESLIE-GOWER PREDATOR-PREY MODEL WITH HOLLING TYPE II FUNCTIONAL RESPONSE AND CROSS-DIFFUSION DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS 34(2014) 3875-3899 SCI

Jun Zhou, Chunlai Mu 作者1 Blow-up and global existence to a degenerate reaction-diffusion equation with nonlinear memory J. Math. Anal. Appl. 333 (2007), no. 2 1138–1152 SCI 1.001

Jun Zhou 作者1 On the Cauchy problem for a reaction-diffusion system with singular nonlinearity Acta Mathematica Scientia 33 B(4)(2013) 1031-1048 SCI 0.487

Zhou, Jun Zhou, Jun A multi-dimension blow-up problem to a porous medium diffusion equation with special medium void APPLIED MATHEMATICS LETTERS 30(2014) 6-11 SCI

Jun Zhou, Di Yang Jun Zhou Blowup for a degenerate and singular parabolic equation with nonlocal source and nonlocal boundary Appl. Math. Comp. 256(2015) 881-884 SCI

Jun Zhou Jun Zhou Positive solutions for a modified Leslie-Gower prey-predator model with Crowley-Martin functional responses Nonlinear Differ. Equ. Appl. 21(2014) 621-661 SCI

Jun Zhou 作者1 Spatiotemporal pattern formation of a diffusive bimolecular Computers and Mathematics with Applications 2013（66），no 10 2003-2018 SCI 2.069

周軍 作者1 一類具有局部化源和吸收項的拋物系統解的整體存在與爆破 數學學報 2013年56卷第1期 67-86 其它

Jun Zhou, Junping Shi 作者2 Uniqueness of the positive solution for a non-cooperative model of nuclear reactors Applied Mathematics Letters 2013(26) 1005-1007 SCI 1.501

Jun Zhou 作者1 On the Cauchy problem for a reaction-diffusion system with singular nonlinearity Acta Mathematica Scientia 2013, 33B(4) 1031-1048 SCI 0.487

Jun Zhou, Junping Shi 作者2 The existence, bifurcation and stability of positive stationary solutions of a diffusive Leslie-Gower predator-prey model with Holling-tpye II functional responses J. Math. Anal. Appl. 2013(405) 618-630 SCI 1.050

Jun Zhou, Chunlai Mu 作者1 Non-simultaneous blow-up for a reaction-diffusion system with absorption and coupled boundary flux Electron. J. Qual. Theory Differ. Equ. 2010, No. 45 1-10 SCI 0.557

Jun Zhou, Chunlai Mu 作者1 Blowup for degenerate and singular parabolic system with nonlocal source Bound. Value Probl. 2006, Art. ID 21830 1-19 SCI 0.911

Jun Zhou Jun Zhou On existence, multiplicity, uniqueness and stability of positive solutions of a Leslie–Gower type diffusive predator–prey system Nonlinear. Anal.:Mdel. Cont. 19(2014) 669-688 SCI

Zhou, Jun,Shi, Junping Zhou, Jun Qualitative analysis of an autocatalytic chemical reaction model with decay PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECT 144(2014) 427-446 SCI

Jun Zhou Jun Zhou Qualitative analysis of a modified Leslie-Gower predator-prey model with crowley-martin functional response Comm. Pure Appl. Anal. 14(3)(2015) 1127-1145 SCI

Jun Zhou, Chunlai Mu 作者1 Positive solutions for a three-trophic food chain model with diffusion and Beddington-Deangelis functional response Nonlinear Anal. Real World Appl. 12 (2011), no. 2 902–917 SCI 2.043

Jun Zhou, Chunlai Mu 作者1 On the critical Fujita exponent for a degenerate parabolic system coupled via nonlinear boundary flux Proc. Edinb. Math. Soc. (2) 51 (2008), no. 3 785–805 SCI 0.415

Jun Zhou, Chunlai Mu 作者1 Global existence and blow-up for non-Newton polytropic filtration system coupled with local source Glasg. Math. J. 51 (2009), no. 1 39–47 SCI 0.571

Ju徠n Zhou, Chunlai Mu 作者1 Global existence and blow-up for a non-Newton polytropic filtration system with nonlocal source ANZIAM J. 50 (2008), no. 1 13–29 SCI 0.254

Jun Zhou, Chunlai Mu 作者1 Time periodic solutions of porous medium equation Math. Methods Appl. Sci. 33 (2010), no. 16 1942–1954 SCI 0.743

教學情況

授課時間 課程名稱 課程類型 授課學院 專業 年級 學生人數 周學時數 上課周數

2013-09-23 高扥數學III 公共課 園藝園林學院 園藝 2013級 94 6 15

2013-09-23 高等數學III 公共課 園藝園林學院 園林 2013級 131 6 15

2012-09-01 高等數學I/B 公共課 園藝園林學院 城市規劃 2012級 76 5 18

2012-09-01 高等數學I/B 公共課 園藝園林學院 城市規劃 2012級 74 5 18

學術會議

會議名稱 會議類型 主辦單位 舉辦時間 舉行地點 報告題目 報告級別

2012 Spring AMS Eastern Section Meeting 國際 AMS 2012/03 Washington, DC, USA Multiplicity of positive solutions of a diffusive Leslie-Gower predator-prey model with Hollingtype 分組報告

9th AIMS International Conference on Dynamical Sys 國際 AIMS 2012/07 Orlando, FL, USA Qualitative Analysis of an Autocatalytic Chemical Reaction Model with Decay 分組報告

Infinite Dimensional and Stochastic Dynamical Syst 國際 IMA 2012/09 University of Minnesota, USA Positive steady state solutions of a diffusive Leslie-Gower predator-prey model with Holling type II 分組報告