Abstract
In this paper, effects of environmental and hunting parameters on the interspecific interacting populations are considered by applying the Rosenzweig-MacArthur model with the Holling type II functional response. Attenuating functions of the carrying capacity are introduced with a concern on the hunting parameters. We carry out numerical study to investigate how the population densities behave when environmental quantities change. We obtain the Hopf bifurcation diagrams from numerical results.
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This work was supported by National Natural Science Foundation of China (No. 11501032), and Scientific Research Grant-in-Aid from JSPS (No. 15K04987).
Recommended by Guest Editor Yang Song
Xiao-Yu Zhang received the B. Sc. degree in fundamental mathematics from Inner Mongolia University, China in 2005, the M. Sc. degree in fundamental mathematics from Fujian Normal University, China in 2009, and the Ph.D. degree in applied mathematics from Yamagata University, Japan in 2011. She is currently a lecture at Department of Mathematics, Beijing Forestry University. She is a member of MSJ and JSIAM.
Her research interests include complex analysis, numerical analysis, differential equations, dynamical systems, and mathematical modeling.
ORCID iD: 0000-0002-2794-3848
Qing Fang received the B. Sc. degree in fundamental mathematics from University of Science and Technology of China, China in 1985, the M. Sc. and Ph.D. degrees in applied mathematics from Hiroshima University, Japan in 1989 and 1992, respectively. He is currently a professor at Department of Mathematical Sciences, Yamagata University, Japan. He is a member of MSJ and JSIAM.
His research interests include numerical analysis, scientific computing, differential equations, dynamical systems and mathematical modeling.
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Zhang, XY., Fang, Q. Numerical evaluation of external effects on interspecific interacting populations. Int. J. Autom. Comput. 13, 133–141 (2016). https://doi.org/10.1007/s11633-015-0938-2
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DOI: https://doi.org/10.1007/s11633-015-0938-2