Skip to main content
SpringerLink
Log in

On the solution of the model of two co-affected species

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

Abstract

This paper discusses a model of two coeffected species with diffusion system, where the birth functions have the characteristic index decline, and then the circumstance factors α1 which are connected with natural resources, and the birth parameters βi which could be controlled are introduced. By means of the upper-lower solutions, the existence, uniqueness and the local stability of equilibrium solution of the model are discussed. It’s discovered that the birth parameters βi determine the developing tendency when other parameters are comparatively stable.

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

Access this article

Log in via an institution

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. Gurtin, M. E. and R. C. MacCamy, Nonlinear age-dependent population dynamics,Arch. Rat. Mech. Anal.,54 (1974), 281–300.

    Article  MATH  MathSciNet  Google Scholar 

  2. Song Jian, Theory on the stability of population system and the critical birthrate of womenJournal of Automation,7, 1 (1981), 1–12. (in Chinese)

    Google Scholar 

  3. Feng De-xing, Stablity of nonlinear evolution equation on population,J. Math-Phys.,8, 2 (1988), 159–167. (in Chinese)

    Google Scholar 

  4. Venturino, E., Age-structure predater-prey models,Mathematical Modelling,5 (1984), 117–128.

    Article  MATH  MathSciNet  Google Scholar 

  5. Langlais, M., Asympotic behavior in some evolution equation arising in population dynamics,Proceeding of Problems Elliptiques, Etparabliques Nonlinear, Nancy (1988).

  6. Webb, G. F.,Theory of Nonlinear Age-Dependent Population Dynamics, Manuscritp (1986).

  7. Weinstock, E. and C. Rorres, Local stability of an age-structured population with density-dependent fertility and mortality.SIAM, J. Appl. Math.,47, 3 (1987), 589–603.

    Article  MATH  MathSciNet  Google Scholar 

  8. Pao, C. V., Coexistence and stability of a competition-diffussion system in population dynamics,J. Math. Anal. Appl.,83 (1981), 54–74.

    Article  MATH  MathSciNet  Google Scholar 

  9. Ye Qi-xiao,Introduction of Reaction-Diffusion Equation, Science Press (1990). (in Chinese)

Download references

Author information

Authors and Affiliations

  1. The Air Force Institute of Meteorology, Nanjing 003, Box, Nanjing

    Zhang Wei-fu & Lü Rong-qing

Authors
  1. Zhang Wei-fu
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Lü Rong-qing
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Communicated by Dai Shi-qiang

Rights and permissions

Reprints and permissions

About this article

Cite this article

Wei-fu, Z., Rong-qing, L. On the solution of the model of two co-affected species. Appl Math Mech 15, 135–146 (1994). https://doi.org/10.1007/BF02451048

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02451048

Key words

Search

Navigation