Complex Dynamics in a Harvested Nutrient-Phytoplankton-Zooplankton Model with Seasonality

Joint Authors

Liu, Chao
Liu, Peiyong

Source

Mathematical Problems in Engineering

Issue

Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-13, 13 p.

Publisher

Hindawi Publishing Corporation

Publication Date

2014-03-30

Country of Publication

Egypt

No. of Pages

13

Main Subjects

Civil Engineering

Abstract EN

A nutrient-phytoplankton-zooplankton model is established, where harvest effort on phytoplankton population and seasonal intrinsic growth of nutrient biomass are considered.

Positivity and boundedness of solutions of model system are studied.

By analyzing the characteristic equation of linearized system corresponding to the proposed model system, local asymptotic stability around interior equilibrium is studied, which reveals that interior equilibrium loses its stability at some critical value of predation rate.

By utilizing Poincaré surface of section and computation of Lyapunov exponents, numerical experiments are performed to discuss the complex dynamical behavior of model system.

Model system shows rich dynamic behavior including limit cycle and chaotic attractor due to variation of predation rate and seasonal intrinsic growth rate.

Further numerical experiments show that reasonable harvesting has stabilizing effect on population dynamics that prevents chaotic behavior.

Numerical simulations are carried out to show consistency with theoretical analysis obtained in this paper.

American Psychological Association (APA)

Liu, Chao& Liu, Peiyong. 2014. Complex Dynamics in a Harvested Nutrient-Phytoplankton-Zooplankton Model with Seasonality. Mathematical Problems in Engineering،Vol. 2014, no. 2014, pp.1-13.
https://search.emarefa.net/detail/BIM-478388

Modern Language Association (MLA)

Liu, Chao& Liu, Peiyong. Complex Dynamics in a Harvested Nutrient-Phytoplankton-Zooplankton Model with Seasonality. Mathematical Problems in Engineering No. 2014 (2014), pp.1-13.
https://search.emarefa.net/detail/BIM-478388

American Medical Association (AMA)

Liu, Chao& Liu, Peiyong. Complex Dynamics in a Harvested Nutrient-Phytoplankton-Zooplankton Model with Seasonality. Mathematical Problems in Engineering. 2014. Vol. 2014, no. 2014, pp.1-13.
https://search.emarefa.net/detail/BIM-478388

Data Type

Journal Articles

Language

English

Notes

Includes bibliographical references

Record ID

BIM-478388