Skip to main content
Log in

Persistence in a three species Lotka-Volterra nonperiodic predator-prey system

  • Published:
Applied Mathematics and Mechanics Aims and scope Submit manuscript

Abstract

The predator-prey model for three species in which the right-hand sides are nonperiodic functions in time were considered. It' s proved that the model is persistent under appropriate conditions.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. CHEN Lan-sun, PENG Qiu-liang. Persistence in a three species Lotka-Volterra periodic predator-prey system [J].System Science and Mathematical Science, 1994,7(4):337 ∼ 343.

    MathSciNet  Google Scholar 

  2. Ahmad S. Convergence and ultimate bounds of solution of the nonautonpmmous Volterra-Lotka competition equation [J].J Math Anal Appl, 1987,127(3):377 ∼ 387.

    Article  MATH  MathSciNet  Google Scholar 

  3. Zitan Amine. A periodic prey-predator system [J].J Math Anal Appl, 1994,185(4):477 ∼ 489.

    MathSciNet  Google Scholar 

  4. Tineo A. On the asymptotic behaviour of some population model [J].J Math Anal Appl, 1992,16(5):516 ∼ 529.

    Article  MathSciNet  Google Scholar 

  5. Tineo A, Alvarez C. A different consideration about the globally asymptotically stable solution of the periodic N-competing species problems [J].J Math Anal Appl, 1991,159(1):44 ∼ 50.

    Article  MathSciNet  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

Communicated by DAI Shi-qiang

CLC number: O175.11

Document code: A

Rights and permissions

Reprints and permissions

About this article

Cite this article

Yin-ping, Z., Ji-tao, S. Persistence in a three species Lotka-Volterra nonperiodic predator-prey system. Appl Math Mech 21, 879–884 (2000). https://doi.org/10.1007/BF02428356

Download citation

  • Received:

  • Revised:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02428356

Key words

Navigation