Related Experiment Video
Updated: Sep 14, 2025

Methodology for Developing Life Tables for Sessile Insects in the Field Using the Whitefly, Bemisia tabaci, in Cotton As a Model System
Published on: November 1, 2017
Bifurcation analysis in a Beddington-DeAngelis predator-prey model with habitat complexity and additional food effect
Demou Luo1,2, Qiru Wang3, Huayou Xie1
1School of Mathematics, Sun Yat-sen University, Guangzhou 510275, Guangdong, People's Republic of China.
Abstract:
In this paper, we study a predator-prey model with a Beddington-DeAngelis functional response, where the effect of habitat complexity and additional food is proposed to jointly affect the dynamics of predator and prey. It is shown that the system can appear with a series of bifurcation phenomena, including Hopf bifurcation, saddle-node bifurcation, transcritical bifurcations at the x axis and the y axis, and a cusp type Bogdanov-Takens bifurcation of codimension two, and the system exhibits various dynamics, such as homoclinic orbits, multicoexistent periodic orbits, and a multicoexistent steady state. Several numerical examples are shown to verify our main results.
Related Concept Videos
Predator-Prey Interactions
Habitat Fragmentation
Mechanistic Models: Compartment Models in Individual and Population Analysis
Trophic Efficiency
Multicompartment Models: Overview
These models offer a more comprehensive representation of drug behavior in the body than one-compartment models. They accommodate the complexity of drug distribution,...
Parameters Affecting Nonlinear Elimination: Zero-Order Input, First-Order Absorption and Two-Compartment Model
When a drug is administered through a constant intravenous infusion and eliminated via nonlinear pharmacokinetics, it follows zero-order input. For example, oral drugs undergo first-order absorption upon administration and are eliminated through nonlinear pharmacokinetics.
In the case of subcutaneously administered drugs,...

