Dynamics in a discrete predator-prey system with infected prey

Changjin Xu; Peiluan Li

Mathematica Bohemica (2014)

  • Volume: 139, Issue: 3, page 511-534
  • ISSN: 0862-7959

Abstract

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In this paper, a discrete version of continuous non-autonomous predator-prey model with infected prey is investigated. By using Gaines and Mawhin's continuation theorem of coincidence degree theory and the method of Lyapunov function, some sufficient conditions for the existence and global asymptotical stability of positive periodic solution of difference equations in consideration are established. An example shows the feasibility of the main results.

How to cite

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Xu, Changjin, and Li, Peiluan. "Dynamics in a discrete predator-prey system with infected prey." Mathematica Bohemica 139.3 (2014): 511-534. <http://eudml.org/doc/262032>.

@article{Xu2014,
abstract = {In this paper, a discrete version of continuous non-autonomous predator-prey model with infected prey is investigated. By using Gaines and Mawhin's continuation theorem of coincidence degree theory and the method of Lyapunov function, some sufficient conditions for the existence and global asymptotical stability of positive periodic solution of difference equations in consideration are established. An example shows the feasibility of the main results.},
author = {Xu, Changjin, Li, Peiluan},
journal = {Mathematica Bohemica},
keywords = {predator-prey model; periodic solution; topological degree; global asymptotic stability; predator-prey model; periodic solution; topological degree; global asymptotic stability},
language = {eng},
number = {3},
pages = {511-534},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Dynamics in a discrete predator-prey system with infected prey},
url = {http://eudml.org/doc/262032},
volume = {139},
year = {2014},
}

TY - JOUR
AU - Xu, Changjin
AU - Li, Peiluan
TI - Dynamics in a discrete predator-prey system with infected prey
JO - Mathematica Bohemica
PY - 2014
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 139
IS - 3
SP - 511
EP - 534
AB - In this paper, a discrete version of continuous non-autonomous predator-prey model with infected prey is investigated. By using Gaines and Mawhin's continuation theorem of coincidence degree theory and the method of Lyapunov function, some sufficient conditions for the existence and global asymptotical stability of positive periodic solution of difference equations in consideration are established. An example shows the feasibility of the main results.
LA - eng
KW - predator-prey model; periodic solution; topological degree; global asymptotic stability; predator-prey model; periodic solution; topological degree; global asymptotic stability
UR - http://eudml.org/doc/262032
ER -

References

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