Literature DB >> 24615228

An incubating diseased-predator ecoepidemic model.

Chiara Tannoia1, Emiliano Torre, Ezio Venturino.   

Abstract

We present a model for transmissible diseases spreading among predators in a predator-prey system. Upon successful contact, a susceptible individual becomes infected but is not yet able to spread the disease further. After an incubation period, the diseased individual becomes infectious. We investigate the system's equilibria by analytical and numerical means. For a suitable set of parameter values, the system shows persistent oscillations. The model also exhibits bistability of the coexistence equilibrium with the prey-only equilibrium.

Mesh:

Year:  2012        PMID: 24615228      PMCID: PMC3473129          DOI: 10.1007/s10867-012-9281-9

Source DB:  PubMed          Journal:  J Biol Phys        ISSN: 0092-0606            Impact factor:   1.365


  9 in total

1.  Epidemics in predator-prey models: disease in the predators.

Authors:  Ezio Venturino
Journal:  IMA J Math Appl Med Biol       Date:  2002-09

2.  Dynamic models of infectious diseases as regulators of population sizes.

Authors:  J Mena-Lorca; H W Hethcote
Journal:  J Math Biol       Date:  1992       Impact factor: 2.259

3.  Disease transmission models with density-dependent demographics.

Authors:  L Q Gao; H W Hethcote
Journal:  J Math Biol       Date:  1992       Impact factor: 2.259

4.  The role of transmissible diseases in the Holling-Tanner predator-prey model.

Authors:  Mainul Haque; Ezio Venturino
Journal:  Theor Popul Biol       Date:  2006-06-29       Impact factor: 1.570

5.  The Allee effect and infectious diseases: extinction, multistability, and the (dis-)appearance of oscillations.

Authors:  Frank M Hilker; Michel Langlais; Horst Malchow
Journal:  Am Nat       Date:  2009-01       Impact factor: 3.926

6.  Disease-induced stabilization of predator-prey oscillations.

Authors:  Frank M Hilker; Kirsten Schmitz
Journal:  J Theor Biol       Date:  2008-08-27       Impact factor: 2.691

7.  Four SEI endemic models with periodicity and separatrices.

Authors:  L Q Gao; J Mena-Lorca; H W Hethcote
Journal:  Math Biosci       Date:  1995 Jul-Aug       Impact factor: 2.144

8.  Predator-prey populations with parasitic infection.

Authors:  K P Hadeler; H I Freedman
Journal:  J Math Biol       Date:  1989       Impact factor: 2.259

9.  Modelling disease introduction as biological control of invasive predators to preserve endangered prey.

Authors:  Nuno M Oliveira; Frank M Hilker
Journal:  Bull Math Biol       Date:  2009-09-29       Impact factor: 1.758

  9 in total
  1 in total

1.  Dynamical Study of an Eco-Epidemiological Delay Model for Plankton System with Toxicity.

Authors:  Nilesh Kumar Thakur; Smriti Chandra Srivastava; Archana Ojha
Journal:  Iran J Sci Technol Trans A Sci       Date:  2021-01-05       Impact factor: 1.194

  1 in total

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