Abstract
In this paper, we analyze the stability and Hopf bifurcation of a biological economic system with harvesting effort on prey. The model we consider is described by differential-algebraic equations because of economic revenue. We choose economic revenue as a positive bifurcation parameter here. Different from previous researchers’ models, this model with nonlinear harvesting rate is more general. Furthermore, the improved calculation process of parameterization is much simpler and it can handle more complex models which could not be dealt with by their algorithms because of enormous calculation. Finally, by MATLAB simulation, the validity and feasibility of the obtained results are illustrated.
Funding
This work was supported by a grant from the National Natural Science Foundation of China (No. 61304057), Scientific Research Program of Hubei Educational Committee of China (No. B2015429) and Scientific Research Subject of Xianning Vocational Technical College of China (No.2015Y006).
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©2015 by De Gruyter
Articles in the same Issue
- Frontmatter
- Stability and Hopf Bifurcation of a Predator–Prey Biological Economic System with Nonlinear Harvesting Rate
- A New Simplified Bilinear Method for the N-Soliton Solutions for a Generalized FmKdV Equation with Time-Dependent Variable Coefficients
- Robust IMEX Schemes for Solving Two-Dimensional Reaction–Diffusion Models
- Second-Order Slip Effects on Heat Transfer of Nanofluid with Reynolds Model of Viscosity in a Coaxial Cylinder
- An Application of Wavelet Technique in Numerical Evaluation of Hankel Transforms
Articles in the same Issue
- Frontmatter
- Stability and Hopf Bifurcation of a Predator–Prey Biological Economic System with Nonlinear Harvesting Rate
- A New Simplified Bilinear Method for the N-Soliton Solutions for a Generalized FmKdV Equation with Time-Dependent Variable Coefficients
- Robust IMEX Schemes for Solving Two-Dimensional Reaction–Diffusion Models
- Second-Order Slip Effects on Heat Transfer of Nanofluid with Reynolds Model of Viscosity in a Coaxial Cylinder
- An Application of Wavelet Technique in Numerical Evaluation of Hankel Transforms