Research On The Dynamic Behavior Of Natural Korean Pine Forest Growth

Broadleaved Korean pine ecosystem, with its rich natural resources and excellent qualityof Pinus koraiensis species, makes important contributions to national economy. Pinegermination and reproduction require high natural conditions. Last few years, with thepopulation increasing, deforestation and other events, the natural Korean pine forestsincreasingly scarce. Blind pursuit of economic interests results a sharp reduction in red pineresource reserves. How to make sure Korean pine populations survive, it has been one of thekey issues of concern.Analysis of Korean pine population growth we can know that in the natural Korean pineforest, the main factors affecting its occurrence and development is the Korean pine seeds andseedlings. The Korean pine seeds (hereinafter referred to as pine nuts) needs high conditionsfor natural breeding and germination, Korean pine forest updates depends on source ofKorean pine, seedling germination natural conditions, both of them are related torodents(mainly squirrels, chipmunks also be considered Apodemus and some birds and so on)closely, the main animal of Korean pine forest. Korean pine is the main source of food forrodents, directly influences the quantity of rodents (the predators). The red pine seedlingsupdate almost depend on rodents’s handling and storage behavior. Pine, rodents and red pineseedling form a typical Korean pine forest ecosystem.After years of observation and experimental, forest scientists founded that pine nuts yieldshows a trend of "harvest year or less year". And during "harvest year" and "less year", thenumber of rodent shows large differences. This paper studies correlation among pine nuts,seedlings and rodents of natural red pine population in an natural environment. By simulatingthe process of Eco-Cycle of natural red pine, use relevant theories and methods of differentialequations, build two different kinds of Korean pine population dynamics mathematical model.Kinetic analysis was carried out, Intensive research linkages between each parameter, analysisred pine populations natural reproduction succession and complex relationships with rodents.On this basis established two kinds of pine, rodents, and seedling ecological dynamics model.through qualitative analysis, pine nut "harvest year", Korean pine population system havea solutions plane and unstable periodic solutions under certain conditions; pine nut "lessyear", the existence of periodic solutions of plane and internal stability system of solutionsunder certain conditions. Proposed artificial interference to provided scientific guidance to thebreeding of populations of red pine, so that this precious species to a large number ofhigh-quality updates, provide scientific reference for maintaining ecological balance andmaintain the laws of nature. In addition, adding human interventions like seed collecting andmouse capture in the above two categories of Natural Korean pine ecosystem, establishesand analyzes two kinds of Korean pine population system with artificial effectof artificial Pinus koraiensis, provides simple practical scientific basis for artificial guide andprotect this important species. Using Maple for the two cases are studied bynumerical simulation, results show that between pine, rodents and seedling of Natural Korean pine forest under certain conditions can be a time-vary ingmutual growth and periodiclaw of shock formation, and finally to maintain the dynamic stability.The first chapter introduces the research background of Korean pine forest populations;Chapter II gives the stability of the basic theory of differential equations used in this article,the full text of the scientific support from a mathematical point of view; next two chapterswere investigated pine "Under the Harvest" and "less years", the Korean pine speciespopulations and their associated relationships between the number density, the use ofmathematical analysis methods demonstrated in detail; In the fifth chapter, adding the effectsof artificial seed and rat populations on natural Korean pine ecosystem, analyzes the variousartificial conditions of the existing equilibrium effects of Korean pine population size, not todestroy the ecological balance of the artificial conditions under the guidance of the originalseed and catching mice provide a scientific basis.This paper reveals the periodic behavior characteristics of natural population of Pinuskoraiensis ecosystem; at the same time provide scientific guidance and theoretical basis forrational management and protection the Korean pine population.