Continuous-time predator–prey models with parasites

Sophia R.J. Jang; James Baglama

doi:10.1080/17513750802283253

Continuous-time predator–prey models with parasites

Sophia R.J. Jang, James Baglama

Mathematics and Statistics

Research output: Contribution to journal › Article › peer-review

12 Scopus citations

Abstract

We study a deterministic continuous-time predator–prey model with parasites, where the prey population is the intermediate host for the parasites. It is assumed that the parasites can affect the behavior of the predator–prey interaction due to infection. The asymptotic dynamics of the system are investigated. A stochastic version of the model is also presented and numerically simulated. We then compare and contrast the two types of models.

Original language	English
Pages (from-to)	87-98
Number of pages	12
Journal	Journal of Biological Dynamics
Volume	3
Issue number	1
DOIs	https://doi.org/10.1080/17513750802283253
State	Published - Jan 2009

Keywords

Continuous–time Markov chain
Global asymptotic stability
Predator-prey-parasite interaction
Uniform persistence

Access to Document

10.1080/17513750802283253

Cite this

@article{55e62ddebfcb46ec8b8b54264ffb21a1,

title = "Continuous-time predator–prey models with parasites",

abstract = "We study a deterministic continuous-time predator–prey model with parasites, where the prey population is the intermediate host for the parasites. It is assumed that the parasites can affect the behavior of the predator–prey interaction due to infection. The asymptotic dynamics of the system are investigated. A stochastic version of the model is also presented and numerically simulated. We then compare and contrast the two types of models.",

keywords = "Continuous–time Markov chain, Global asymptotic stability, Predator-prey-parasite interaction, Uniform persistence",

author = "Jang, {Sophia R.J.} and James Baglama",

year = "2009",

month = jan,

doi = "10.1080/17513750802283253",

language = "English",

volume = "3",

pages = "87--98",

journal = "Journal of Biological Dynamics",

issn = "1751-3758",

number = "1",

}

TY - JOUR

T1 - Continuous-time predator–prey models with parasites

AU - Jang, Sophia R.J.

AU - Baglama, James

PY - 2009/1

Y1 - 2009/1

N2 - We study a deterministic continuous-time predator–prey model with parasites, where the prey population is the intermediate host for the parasites. It is assumed that the parasites can affect the behavior of the predator–prey interaction due to infection. The asymptotic dynamics of the system are investigated. A stochastic version of the model is also presented and numerically simulated. We then compare and contrast the two types of models.

AB - We study a deterministic continuous-time predator–prey model with parasites, where the prey population is the intermediate host for the parasites. It is assumed that the parasites can affect the behavior of the predator–prey interaction due to infection. The asymptotic dynamics of the system are investigated. A stochastic version of the model is also presented and numerically simulated. We then compare and contrast the two types of models.

KW - Continuous–time Markov chain

KW - Global asymptotic stability

KW - Predator-prey-parasite interaction

KW - Uniform persistence

UR - http://www.scopus.com/inward/record.url?scp=78650541397&partnerID=8YFLogxK

U2 - 10.1080/17513750802283253

DO - 10.1080/17513750802283253

M3 - Article

C2 - 22880752

AN - SCOPUS:78650541397

SN - 1751-3758

VL - 3

SP - 87

EP - 98

JO - Journal of Biological Dynamics

JF - Journal of Biological Dynamics

IS - 1

ER -

Continuous-time predator–prey models with parasites

Abstract

Keywords

Access to Document

Other files and links

Fingerprint

Cite this