Study on the Classification and Stability of Industry-University- Research Symbiosis Phenomenon: Based on the Logistic Model
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1 Jounal of Emging Tnds in Economics and Managmnt Scincs (JETEMS 3 (1: Scholalink sach Institut Jounals, 1 (ISS: Jounal jtms.scholalinksach.og of Emging Tnds Economics and Managmnt Scincs (JETEMS 3(1:116-11(ISS: Study on th Classification and Stability of Industy-Univsity- sach Symbiosis Phnomnon: Basd on th Logistic Modl 1 Fng Fng, Liyong Zhang, 3 Yunng Du, 4 Li Ma and 5 Miao Fu 1 Th School of Public Affais, Univsity of Scinc and Tchnology of China o.65, Manag School building, East Campus, USTC, Hfi, China School of Managmnt, Univsity of Scinc and Tchnology of China o.3, 365 building, East Campus, USTC, Hfi, China 3 Th School of Public Affais, Univsity of Scinc and Tchnology of China o. 3,7 building, Wn yuan, Shu shan distict, Hfi, China 4 School of Managmnt, Univsity of Scinc and Tchnology of China o.67, Manag School building, East Campus, USTC, Hfi, China 5 School of Managmnt, Univsity of Scinc and Tchnology of China o.511, 367 building, East Campus, USTC, Hfi, China Cosponding Autho: Yunng Du Abstact Th coopation among industis, univsitis and sach institutions is simila to th symbiotic coopation of th individual oganisms. This pap discussd th symbiotic lationship of th ntpiss and th sach institutions, constuctd a logistic gowth modl of th symbiotic lationships, and dividd th symbiotic lationships into qual-symbiosis, ly-symbiosis, dpndnc-symbiosis, and on-way-symbiosis. W found that diffnt symbiotic lationships should b tatd by diffnt mthods. Th stabl conditions of ths fou typs of symbiotic lationship w poposd, and th sults povidd a thotical guidanc to choos th asonabl symbiosis modls Kywods: symbiosis phnomnon, industy-univsity-sach coopation, classification, stability, logistic modl ITODUCTIO Th coopation of Industy-Univsity-sach (fd to as I.U.. fs to th conomic and social activitis that ntpiss, univsitis and sach institutions coopat with ach oth by thi complmntay soucs in th pocss of tchnological innovation (Fng t al., 9. Th coopation in th Industy-Univsity-sach bcoms mo and mo impotant in th conomic and social dvlopmnt (Fontana t al., 6. Thfo, studying th way to pomot th coopation also bcoms significant. Si Shangqi poposd that th was a symbiotic lationship btwn th sach institutions and th ntpiss in th coopation of Industy-Univsity-sach, and th Symbiotic Thoy is a good pspctiv to study on th coopation of Industy-Univsity- sach (Si t al., 9. Obviously, it givs us a nw way of thinking of th lationship of th univsitis, th ntpiss and th sach institutions. In this pap w focusd on th nds fo th classification of th Industy-Univsity-sach symbiosis phnomnon, and w also focusd on th stability of ach catgoy. Fistly, laboatd how th univsitis, ntpiss and th sach institutions symbios with ach oth. Scondly basd on th Logistic Modl, w dividd th lationships into 116 th catgois and analyzd th stability of ach catgoy. Finally, th sults povidd a thotical guidanc to choos th asonabl symbiosis modls. Th Symbiotic lationship of I.U.. Coopation Th concpt of symbiosis fist appad in th fild of biology which was poposd by a Gmany biologist Anion D Bay in Th symbiosis mans two o mo oganisms fom a symbiotic lationship of co-xistnc and co-volution. Th coopation of th ntpiss, th univsitis and th sach institutions a stongly simila to th symbiotic lationship btwn th oganisms. Kuma,. fist poposs that symbiotic lationship xistd in th coopation of univsitis and ntpiss (Kuma, This pap agud that th coopation lationship of I.U.. was ssntially symbiotic lationship. Th univsitis and th sach institutions show stong similaity in th coopation with th ntpiss, so this pap tatd thm as th sam typ calld thm th sach Institutions. In th coopation, th ntpiss can obtain tchnology o knowldg fom th sach institutions with which th ntpiss can dvlop nw poducts o impov poductivity (Giuliania t al., 9, and gt mo pofits (Cspo, 7. Th sach institutions can obtain funds fom th
2 Jounal of Emging Tnds in Economics and Managmnt Scincs (JETEMS 3(1:116-11(ISS: ntpiss to dvlop mo studis and pomot slf dvlopmnt. Additional, th talnts cultud by th sach institutions a just what th ntpiss nd, so th sach institutions can cultu mo pactical talnts though joint taining. Th xchang of th talnts and th funds (w can tat thm as substanc, infomation, and ngy fom a symbiosis btwn th ntpiss and th sach institutions. Th Figu 1 dscibd th symbiotic lationship of th ntpiss and th sach institutions. Figu 1 Th Symbiotic lationship of Entpiss and sach Institutions Souc: (SI Shangqi t al., 9 Th Logistic Modl Logistic modl was usd to dscib th disciplin of population gowth in th fild of biology, and it also was usd to dscib th symbiotic lationship btwn populations. Th coopation of I.U. is th symbiotic lationship, so w can us th Logistic modl to dscib th chaactistics of th lationship of I.U... In this modl, w can simplify th chang of th ntpiss o th sach institutions to th vnu and bcaus of th symbiosis, th ntpiss and th sach institutions can obtain additional vnu. satuation at to th gowth of sach institution. G>, G>.If G> 1, it mans that th pomotion of th sach institution to th ntpis is bigg than th block ffcts of itslf. Though th Logistic Modl, w can gt th quation of th gowth of th ntpis (1 and th quation of th gowth of th sach institution ( in indpndnt stat (Guo t al., 5. d (1 (1 d (1 ( Classifications and Stability Analysis of th I.U.. Symbiosis Basd on th bnficial lationship and th dpndnt dg of th ntpis and th sach institution, w can divid th lationship of symbiotic into fou typs calld qual-symbiosis, ly-symbiosis, dpndnc-symbiosis and on-waysymbiosis. W analyzd th conditions of th stady stat of ach typ of symbiotic lationship in th following paagaphs. Th Typ of Equal-Symbiosis Th qual-symbiosis mans that th ntpis and th sach institution in th symbiotic lationship can obtain vnu fom th coopation but ith of thm can b aliv itslf. This modl is an idal modl of symbiosis, and it can lativly asy to fom a stabl stat. As dscib it in Figu, th whit cicl mans th ntpis and th black cicl mans th sach institution. W just consid on ntpis and on sach institution. And w call th ntpis, and th sach institution. t a th and t vnu of and at th tim of t. and a th maximum of th vnu of th and th without th symbiotic lationship. W assum that thy a constants, and th gowth of th indpndnt stat obys th law of Logistic modl. and a th avag gowth at of all th ntpiss and all th sach institutions and w also assum thm to b constants. psnts th vnu atio of th maximum in th indpndnt stat. W call it th natual gowth satuation at. So ( 1- psnts th blocking ffct to th vnu of th natual gowth satuation at und th givn constaints. G is th contibution of th sach institution's natual gowth satuation at to th gowth of ntpis and psnts th contibution of th ntpis's natual gowth G 117 Figu Th qual-symbiosis lationship Basd on th discussion abov, w can stablish th modl. W assum that th vnu gowth of ntpis and th sach institution oby th Logistic Modl. Whn thy achd a symbiotic lationship, thy can both obtain additional vnu fom th symbiosis, so w can add on fomula in th facto of ( 1-, and th fomula is popotional to th vnu natual gowth satuation. Th quations of symbiotic stat a lik ths: (Wang t al., 7. d (1 d (3 (1 Th quation (3 is autonomous nonlina, so w usd th lina appoach to discuss th stability of th quilibium point. Assumd that:
3 Jounal of Emging Tnds in Economics and Managmnt Scincs (JETEMS 3(1:116-11(ISS: d f (, (1 (4 d g(, (1 Th solution of quation (4 is th quilibium point of (3.W can find th solution of (4 is (1 (1 Q1 (,, Q (,.Thn w 1 1 unfold th quation (3 at th point P (, fo th Taylo Pogssion and omittd th scond pow and th abov itms, thn w can gt: d (1 ( ( (5 d (1 ( ( So th cofficint matix is lik this: (1, M (1, W put Q1 and Q into M, w find that Q (, is unstabl quilibium point. Th condition of Q 1 to b stabl quilibium is 1. Sinc that th ntpis and th sach institution in th coopation a symmtic, so th stabl condition can b chang into 1, 1. In th stat of stabl quilibium, th vnu of th ntpis and th sach institution a (1 (1,.And it shows 1 1 that both of th ntpis and th sach institution can achiv mo vnu than opating thmslvs. Th Typ of ly-symbiosis Th ly-symbiosis mans that th ntpis and th sach institution in th symbiotic lationship ly on ach oth. If th symbiotic lationship is intuptd, th vnu of oth on will duc and clos to.so w can dscib th lationship in Figu 3. Th vnu of th ntpis can b list as d, and th vnu fo th sach d institution can b list as.thy both obtain th symbiotic vnu and is hindd by thmslvs. So w must add on itm and subtact on itm, which hav lationships with th natual satuation of th ntpis and th sach institution. Figu 3 Th ly-symbiosis lationship W can list: d (-1 (6 d (-1 W can solv it simila to th way of 4.1. and th quilibium point a (1 (1 Q1 (,, Q (,.Thn w -1-1 unfold th quation(6 at th point P (, fo th Taylo Pogssion and omittd th scond pow and th abov itms, thn w can gt: d (-1 ( ( (7 d ( t ( 1 ( ( Accoding to th Stability thoy of diffntial quations (Jiang, 1993, w know that Q 1 is unstabl quilibium point, and th Q is always stabl quilibium point in any cas. Th Typ of Dpndnc-Symbiosis If th symbiotic lationship has a co unit, and oth units ly on th co on, thn w call th modl dpndnc-symbiosis. Th co unit can b an ntpis o a sach institution. In gnal, th siz of th co unit is much lag than th satllit unit. Th co units always hav a function of managmnt and coodination, and th satllit units a nomally subjctd to th co unit. W assumd that th ntpis was th co unit, and th sach institution is th satllit unit. If th sach institution is th co unit, th analysis is simila. Thn w can us Figu 4 to dscib it. Figu 4: Th dpndnc-symbiosis lationship Bfo th symbiotic lationship appas, th vnu of th ntpis obys th Logistic Modl. Whn th symbiotic lationship has fomd, th sach institution will pomot th gowth of th ntpis. So w hav: d (1 (8 118
4 Jounal of Emging Tnds in Economics and Managmnt Scincs (JETEMS 3(1:116-11(ISS: To th sach institution lid on th co unit, it opats indpndntly, and has dclining vnu and th vnu is clos to. So th vnu fo th sach institution can b dscibd as d.th ntpis will also pomot th vnu of th sach institution, and th sach institution has impdimnt to itslf. So w hav th vnu of th sach institution: d ( 1 (9 W can solv it simila to th way of 4.1., and w will gt th quilibium point a (1- (-1 Q1 (,, Q (,.Thn w 1-1- unfold th quation (8 and (9 at th point P (, fo th Taylo Pogssion and omittd th scond pow and th abov itms. Thn w can gt: d (1 ( ( (1 d ( 1 ( ( Accoding to th Stability thoy of diffntial quations (Jiang, 1993, w know that Q is unstabl quilibium point, and th condition of Q to b stabl quilibium point is 1, 1, 1, which mans no matt how th initial condition is, if th pomotion to th ntpis of th sach institution is not lag 1, th pomotion to th sach institution of th ntpis is quit lag 1, and is quit small and is quit big ( 1, thn th symbiotic lationship is stabl. Th Typ of On-Way-Symbiosis Th on-way-symbiosis mans that only on unit can obtain vnu fom th symbiotic lationship. It can b th ntpis o th sach institution. This is lativly a. W can us Figu 5 to dscib th situation. Figu 5 Th on-way-symbiosis lationship W assum that th sach institution can obtain additional vnu fom th ntpis but th ntpis cannot obtain additional vnu fom th symbiotic lationship. If th pofitabl unit is th ntpis, th mthod is simila. So w can list th vnu of th ntpis: d (1 (11 Th vnu of th sach institution is: d (1 (1 W can solv it simila to th way of 4.1. and gt th quilibium point a Q, (1, (,.Thn w unfold th 1( Q quation (11 and (1 at th point P (, fo th Taylo Pogssion and omittd th scond pow and th abov itms. Thn w can gt: d (1 ( d (1 ( ( Accoding to th Stability thoy of diffntial quations (Jiang, 1993, w know that Q is unstabl quilibium point. Th condition of Q to b stabl quilibium point is.that mans if, thn th symbiotic lationship is stabl, and th vnu of th ntpis and th sach institution is and ( 1. COCLUSIOS Th lationship of symbiosis can b dividd into fou typs. Th conditions of ach typ a diffnt. Th stabl condition of th qual-symbiosis is that both th ntpis and th sach institution do not contibut too much to th oth sid. Th stabl condition of th ly-symbiosis is vy sv. So w do not commnd th ntpis and th sach institution to fom th ly-symbiosis lationship. Th stabl condition of th dpndnc-symbiosis nds th ntpis and th sach institution must hav a wid gap in siz. Th stabl stat is asy to ach in th on-way-symbiosis. Th conclusions can guid coopation among th industis, univsitis, sach institutions to btt pomot th tansfomation and tchnology tansf. EFEECE Cspo, M. and Didi, H. 7. Intnsification of univsity-industy lationships and its impact on acadmic sach. High Education, 54(1: Fng, F. and Wang, L. 8. Analysis on How to Cultivat Collaboativ Innovation twok of Industy-Univsity-sach Institution: Basd on Small-wold twok Modl. China Soft Scinc, (11:8-86. Fontana,., Guna, A. and Matt, M. 6. Factos 119
5 Jounal of Emging Tnds in Economics and Managmnt Scincs (JETEMS 3(1:116-11(ISS: affcting univsity-industy &D pojcts: Th impotanc of saching, scning and signaling. sach Policy, 35(: Giuliania, E. and Azab, V. 9. What divs th fomation of valuabl univsity-industy linkags? Insights fom th win industy. sach Policy, 38(6: Guo, L. and Su, J. 5. Stability Analysis of Industial Symbiosis Basd on Logistic Equation. Focasting, 4(1:5-9. Jiang, Q Mathmatical modl, nd Edition. High Education Pss, Bijing Wang, Y. and Huang, Z. 7. An Analysis on Fim Symbiosis Modls and its Stability. Jounal of Shanghai Dianji Univsity, 1(1:58-6. Kuma, Industy-univsity symbiosis. Intnational. Jounal of Engining Education, (1: Si, S., Cao, Z. and Fng, F. 9. sach on th Coopation Mchanism of Institutions and Entpiss:A Symbiotic Thoy and Analytical Famwok. Scinc of Scinc and Managmnt of S.& T., (6: Zhang, M., Jiang Z. and Hu J. 8. Analysis on Opation Pattn and Stability of Industial Symbiosis twok. China Industial Economics, (6:
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