On the Asymptotic Stability of Discrete Crocodilians Model  

作　　者：Kaori Saito Yoshihiro Hamaya Kaori Saito;Yoshihiro Hamaya(Meise University, Tokyo, Japan;Okayama University of Science, Okayama, Japan)

机构地区：[1]Meise University, Tokyo, Japan [2]Okayama University of Science, Okayama, Japan

出　　处：《Advances in Pure Mathematics》2023年第5期211-225,共15页理论数学进展（英文）

摘　　要：The sex ratio of crocodiles is strongly biased towards females, often as high as 10 females to 1 male. In crocodilians, the temperature of egg incubation is the environmental factor determining sex. If the temperature is low, around 30˚C, the hatchlings are all females. Higher temperature, around 34˚C, hatch all males. This study was made to consider the asymptotic stability of a positive equilibrium point in a nonlinear discrete model of the basic nesting population model, which is described in three-region depending on the temperature of egg incubation. This model is based on key life-historical data and Murray’s research. To study above, we have applied the classical linearization method and P. Cull’s method and moreover, we employ non-standard discretization methods for later our Equations (6)-(8) and (15).The sex ratio of crocodiles is strongly biased towards females, often as high as 10 females to 1 male. In crocodilians, the temperature of egg incubation is the environmental factor determining sex. If the temperature is low, around 30˚C, the hatchlings are all females. Higher temperature, around 34˚C, hatch all males. This study was made to consider the asymptotic stability of a positive equilibrium point in a nonlinear discrete model of the basic nesting population model, which is described in three-region depending on the temperature of egg incubation. This model is based on key life-historical data and Murray’s research. To study above, we have applied the classical linearization method and P. Cull’s method and moreover, we employ non-standard discretization methods for later our Equations (6)-(8) and (15).

关 键 词：Asymptotic Stability Crocodilians Population Model Positive Equilibrium Point 

分 类 号：O17[理学—数学]