| The Series Solution for a Class of Nonstationary Biological Population Systems and Their Stability |
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| 作者姓名： | Wang Dingjiang |
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| 作者单位： | Pingdingshan Teachers College，Pingdingshan，Henan 467000 |
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| 基金项目： | ThisworkissupportedbytheNaturalScienceFoundationofHenan. |
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| 摘 要： | 1IntroductionInaStableenjoinment,thegeneral~populationSystemcanbeexpr~asfollows(see1,21)In2,3],wedi~theP~ofationforaStatiomppopulationsyStem,theanduniquenessOfthesolutionforanonStatio~populationsystemwereP~.InthiSPaper,wediscusstheseriessolutionOf~tO~adulationSyStem,wedefinethecriticsproliferationrate,anddiscussthestabilityOftheSySt~.InSyStem(1),p(r,t)iscalledpopulationdenSi.tyfUnCtionOfagerandtimet,p,(r)isaninitialdistribution,8(t)istheprDliferationrate,p(r)isanincreasingfUnction(…
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The Series Solution for a Class of Nonstationary Biological Population Systems and Their Stability |
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| Wang Dingjiang.The Series Solution for a Class of Nonstationary Biological Population Systems and Their Stability[J].Journal of Biomathematics,1997(1). |
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| Authors: | Wang Dingjiang |
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| Abstract: | This paper discusses the nonstationary population dynamics,and gives the series solution for the process.The existence,uniqueness and stability of the solution are discussed.By using the concept of critical proliferation rate,we obtain the sufficient conditions of the stability of the systems. |
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| Keywords: | Population system series solution proliferation rate stability |
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