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Stabilities and instabilities in population dynamics

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Part of the Lecture Notes in Mathematics book series (LNM,volume 1546)

Keywords

  • Type Space
  • Transition Kernel
  • Population Space
  • Markov Renewal Process
  • Perron Root

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References

  1. L. Breiman, Probability, Addison-Wesley, Reading, Massachusets, 1969.

    MATH  Google Scholar 

  2. H. Cohn and P. Jagers, General Branching Processes in Varying Environment, (to appear).

    Google Scholar 

  3. P. Jagers, Branching Processes with Biological Applications, Wiley, New York, 1975.

    MATH  Google Scholar 

  4. P. Jagers, General branching processes as Markov fields, Stoch. Proc. Appl., 32 (1989), pp. 183–242.

    CrossRef  MathSciNet  MATH  Google Scholar 

  5. P. Jagers and O. Nerman, The growth and composition of branching popilations, Adv. Appl. Probab., 16 (1984), pp. 221–259.

    CrossRef  MathSciNet  MATH  Google Scholar 

  6. A. Liemant, K. Matthes, and A. Wakolbinger, Equilibrium Distributions of Branching Processes, Akad. Verlag, Berlin, 1988.

    MATH  Google Scholar 

  7. O. Nerman, The Crouwth and Composition of Supercritical Branching Populations on General Type Spaces, Dep. Math. Chalmers Techn. Univ., Gothenburg, 4 (1984).

    Google Scholar 

  8. O. Nerman and P. Jagers, The stable doubly infinite pedigree process of supercritical branching, Z. Wahrsch. Verw. Geb., 64 (1984), pp. 445–446.

    CrossRef  MathSciNet  MATH  Google Scholar 

  9. S. Niemi and E. Nummelin, On non-singular renewal kernels with an application to a semigroup of transition kernels, Stoch. Proc. Appl., 22 (1986), pp 177–202.

    CrossRef  MathSciNet  MATH  Google Scholar 

  10. E. Nummelin, General Ireducible Markov Chains and Non-negative Operators, Cambr. Univ. Press, Cambridge, 1984.

    CrossRef  MATH  Google Scholar 

  11. V. M. Shurenkov, On the theory of Markov renewal, Probab. Theory Appl., 29 (1984), pp. 247–265.

    CrossRef  MathSciNet  MATH  Google Scholar 

  12. V. M. Shurenkov, Ergodic Markov Processes, Nauka, Moscow, 1989.

    MATH  Google Scholar 

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© 1993 Springer-Verlag

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Jagers, P. (1993). Stabilities and instabilities in population dynamics. In: Kalashnikov, V.V., Zolatarev, V.M. (eds) Stability Problems for Stochastic Models. Lecture Notes in Mathematics, vol 1546. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0084482

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  • DOI: https://doi.org/10.1007/BFb0084482

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-56744-8

  • Online ISBN: 978-3-540-47645-0

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