Lotka-Volterra type predator-prey models: Comparison of hidden and explicit resources with a transmissible disease in the predator species

Luciana Assis; Malay Banerjee; Moiseis Cecconello; Ezio Venturino

Applications of Mathematics (2018)

  • Volume: 63, Issue: 5, page 569-600
  • ISSN: 0862-7940

Abstract

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The paper deals with two mathematical models of predator-prey type where a transmissible disease spreads among the predator species only. The proposed models are analyzed and compared in order to assess the influence of hidden and explicit alternative resource for predator. The analysis shows boundedness as well as local stability and transcritical bifurcations for equilibria of systems. Numerical simulations support our theoretical analysis.

How to cite

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Assis, Luciana, et al. "Lotka-Volterra type predator-prey models: Comparison of hidden and explicit resources with a transmissible disease in the predator species." Applications of Mathematics 63.5 (2018): 569-600. <http://eudml.org/doc/294637>.

@article{Assis2018,
abstract = {The paper deals with two mathematical models of predator-prey type where a transmissible disease spreads among the predator species only. The proposed models are analyzed and compared in order to assess the influence of hidden and explicit alternative resource for predator. The analysis shows boundedness as well as local stability and transcritical bifurcations for equilibria of systems. Numerical simulations support our theoretical analysis.},
author = {Assis, Luciana, Banerjee, Malay, Cecconello, Moiseis, Venturino, Ezio},
journal = {Applications of Mathematics},
keywords = {hidden prey; explicit prey; bifurcation; predator-prey model},
language = {eng},
number = {5},
pages = {569-600},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Lotka-Volterra type predator-prey models: Comparison of hidden and explicit resources with a transmissible disease in the predator species},
url = {http://eudml.org/doc/294637},
volume = {63},
year = {2018},
}

TY - JOUR
AU - Assis, Luciana
AU - Banerjee, Malay
AU - Cecconello, Moiseis
AU - Venturino, Ezio
TI - Lotka-Volterra type predator-prey models: Comparison of hidden and explicit resources with a transmissible disease in the predator species
JO - Applications of Mathematics
PY - 2018
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 63
IS - 5
SP - 569
EP - 600
AB - The paper deals with two mathematical models of predator-prey type where a transmissible disease spreads among the predator species only. The proposed models are analyzed and compared in order to assess the influence of hidden and explicit alternative resource for predator. The analysis shows boundedness as well as local stability and transcritical bifurcations for equilibria of systems. Numerical simulations support our theoretical analysis.
LA - eng
KW - hidden prey; explicit prey; bifurcation; predator-prey model
UR - http://eudml.org/doc/294637
ER -

References

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