Author(s)

Kaori Saito¹, Yoshihiro Hamaya²

¹Meise University, Tokyo, Japan.
²Okayama University of Science, Okayama, Japan.

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).

Asymptotic Stability, Crocodilians Population Model, Positive Equilibrium Point

Saito, K. and Hamaya, Y. (2023) On the Asymptotic Stability of Discrete Crocodilians Model. Advances in Pure Mathematics, 13, 211-225. doi: 10.4236/apm.2023.135015.