Related Experiment Video
Updated: Nov 3, 2025

A Real-Time Interactive System for Studying Confrontational Pursuit Behavior in Rodents
Published on: May 16, 2025
The state-dependent impulsive control for a general predator-prey model
Xiaoxiao Zhu1, Huilan Wang1, Zigen Ouyang1
1School of Mathematics and Physics, University of South China, Hengyang, People's Republic of China.
Abstract:
In this paper, a general predator-prey model with state-dependent impulse is considered. Based on the geometric analysis and Poincaré map or successor function, we construct three typical types of Bendixson domains to obtain some sufficient conditions for the existence of order-1 periodic solutions. At the same time, the existing domains are discussed with respect to the system parameters. Moreover, the Analogue of Poincaré Criterion is used to obtain the asymptotic stability of the periodic solutions. Finally, to illustrate the results, an example is presented and some numerical simulations are carried out.
Related Concept Videos
Predator-Prey Interactions
Optimal Foraging
Instinctive Drift
Fixed Action Patterns
Self-Regulation
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,...

