Related Experiment Video
Updated: Jul 17, 2025

Development of an Individual-Tree Basal Area Increment Model using a Linear Mixed-Effects Approach
Published on: July 3, 2020
Analysis of modified Holling-Tanner model with strong Allee effect
Kunlun Huang1, Xintian Jia1, Cuiping Li1
1LMIB-School of Mathematical Sciences, Beihang University, Beijing 100083, China.
Abstract:
In this paper, we study a predator-prey system, the modified Holling-Tanner model with strong Allee effect. The existence and stability of the non-negative equilibria are discussed first. Several kinds of bifurcation phenomena, which the model may undergo, such as saddle-node bifurcation, Hopf bifurcation, and Bogdanov-Takens bifurcation, are studied second. Bifurcation diagram for Bogdanov-Takens bifurcation of codimension 2 is given. Then, possible dynamical behaviors of this model are illustrated by numerical simulations. This paper appears to be the first study of the modified Holling-Tanner model that includes the influence of a strong Allee effect.
Related Concept Videos
Hardy-Weinberg Principle
Mechanistic Models: Compartment Models in Individual and Population Analysis
Conservation of Declining Populations
Conservation of Small Populations
Mechanistic Models: Compartment Models in Algorithms for Numerical Problem Solving
In individual population analyses, different algorithms are employed, such as Cauchy's method, which uses a...
Mutation, Gene Flow, and Genetic Drift

