Abstract In this paper, a problem of the effects of impulsive toxicant input on survival of stagestructure single population is studied in a small polluted environment, and the thresholds of survival and extinction of population are found. By the inequality scaling techniques, the sufficient conditions for extinction and survival of population are obtained. Using numerical simulations of MATLAB, the correctness of the theoretical results are verified, the effects of the amount of the toxins enter, the cycle time of toxin enter and the time of population growth on population survival are analyzed.
LI Dong-mei, XU Ya-jing, LIU Wei-hua. Research on the effects of impulsive toxicant input on survival of stage-structure single population. Applied Mathematics A Journal of Chinese Universities, 2017, 32(1): 23-32.
