Population Growth of Small Harmful Rats in Grassland Subjected to Noise
LIU Xue-Mei1,2, LI Zhi-Bing1, XIE Hui-Zhang1,2, AI Bao-Quan3, CHENG Xiao-Bo1, LIU Liang-Gang4
1Department of Physics, Zhongshan University, Guangzhou5102752Department of Physics, South China University of Technology, Guangzhou 5106413School of Physics and Telecommunication Engineering, South China Normal University, Guangzhou 5106314Faculty of Information Technology, Macau University of Science and Technology, Macau
Population Growth of Small Harmful Rats in Grassland Subjected to Noise
LIU Xue-Mei1,2;LI Zhi-Bing1;XIE Hui-Zhang1,2; AI Bao-Quan3;CHENG Xiao-Bo1;LIU Liang-Gang4
1Department of Physics, Zhongshan University, Guangzhou5102752Department of Physics, South China University of Technology, Guangzhou 5106413School of Physics and Telecommunication Engineering, South China Normal University, Guangzhou 5106314Faculty of Information Technology, Macau University of Science and Technology, Macau
摘要The population growth of small harmful rats in grassland subjected to environment fluctuation has been modelled in a logistic equation. Two correlated random variables responsible to the fluctuation of the genetic factor and the suppression factor are used. A two-peak structure of the steady probability distribution of rate population is observed in the large fluctuation regime of the genetic factor. With the increase of correlation constant λ, the steady probability distribution can change from two peaks to a single peak. The suppression factor μ and its fluctuation also affect the steady probability distribution and can push it toward a small population.
Abstract：The population growth of small harmful rats in grassland subjected to environment fluctuation has been modelled in a logistic equation. Two correlated random variables responsible to the fluctuation of the genetic factor and the suppression factor are used. A two-peak structure of the steady probability distribution of rate population is observed in the large fluctuation regime of the genetic factor. With the increase of correlation constant λ, the steady probability distribution can change from two peaks to a single peak. The suppression factor μ and its fluctuation also affect the steady probability distribution and can push it toward a small population.
LIU Xue-Mei;LI Zhi-Bing;XIE Hui-Zhang; AI Bao-Quan;CHENGXiao-Bo;LIU Liang-Gang. Population Growth of Small Harmful Rats in Grassland Subjected to Noise[J]. 中国物理快报, 2007, 24(7): 2135-2137.
LIU Xue-Mei, LI Zhi-Bing, XIE Hui-Zhang, AI Bao-Quan, CHENGXiao-Bo, LIU Liang-Gang. Population Growth of Small Harmful Rats in Grassland Subjected to Noise. Chin. Phys. Lett., 2007, 24(7): 2135-2137.
[1] Cao L and Wu D J 2000 Phys. Rev. E 62 7478 [2] Ai B Q, Wang X J, Liu G T and Liu L G 2003 Phys. Rev. E 67 022903 [3]Nicolis G and Prigogine I 1997 Self-Organization inNon-equilibrium System (New York: Wiley-Interscience) [4]Elston T C and Doering R 1996 J. Status Phys. 83 359 [5] Bao J D, Zhuo Y Z and Wu X Z 1996 Phys. Lett. A 217 241 [6] Ai B Q, Chen W, Wang X J, Liu G T and Liu L G 2003 Commun. Theor. Phys. 39 765 [7] Dean A R, Adair R K and Weaver J C 1997 Nature 388 632 [8] Wu D J and Cao L 1994 Phys. Rev. E 50 2496 [9] Tsoularis A and Wallace J 2002 Math. Biol. 179 21 [10] Gardiner C W 1983 Handbook of Stochastic Methods (Berlin:Springer) [11] Risken H 1984 the Fokker--Planck Equation (Berlin: Springer) [12] Lipowski A and Lipowska D 2000 Physica A 276 456 [13] Holling C S 1959 Can. Entomol. 91 385
2007, Vol. 24 
