Study of a symbiotic system with disease and delay

Kusumika Kundu, Sudip Samanta, Pijush Panday, Nikhil Pal, Qamar Khan, Joydev Chattopadhyay

Research output: Contribution to journalArticle

Abstract

In the present paper, we study a model with two symbiotic species, where one of the species is subject to disease infection. We observe that for increasing mutualism, the system may become unbounded. We also perform sensitivity analysis to identify the sensitive parameters of the model. Further, we incorporate incubation delay in the disease transmission and investigate how the qualitative behavior of the system changes for the incubation delay. We analyze the model with the help of stability and bifurcation analysis. Taking time-delay as bifurcation parameter, Hopfbifurcation and direction of Hopf-bifurcation are investigated near the coexistence equilibrium point. We illustrate analytical findings through numerical simulations.

Original languageEnglish
Pages (from-to)535-557
Number of pages23
JournalNonlinear Studies
Volume25
Issue number3
Publication statusPublished - Jan 1 2018

Fingerprint

Hopf Bifurcation
Mutualism
Hopf bifurcation
Bifurcation (mathematics)
Qualitative Behavior
Bifurcation Analysis
Equilibrium Point
Coexistence
Sensitivity analysis
Sensitivity Analysis
Infection
Stability Analysis
Time Delay
Time delay
Bifurcation
Model
Numerical Simulation
Computer simulation

Keywords

  • Disease
  • Hopf-bifurcation
  • Sensitivity analysis
  • Symbiosis
  • Time-delay

ASJC Scopus subject areas

  • Modelling and Simulation
  • Applied Mathematics

Cite this

Kundu, K., Samanta, S., Panday, P., Pal, N., Khan, Q., & Chattopadhyay, J. (2018). Study of a symbiotic system with disease and delay. Nonlinear Studies, 25(3), 535-557.

Study of a symbiotic system with disease and delay. / Kundu, Kusumika; Samanta, Sudip; Panday, Pijush; Pal, Nikhil; Khan, Qamar; Chattopadhyay, Joydev.

In: Nonlinear Studies, Vol. 25, No. 3, 01.01.2018, p. 535-557.

Research output: Contribution to journalArticle

Kundu, K, Samanta, S, Panday, P, Pal, N, Khan, Q & Chattopadhyay, J 2018, 'Study of a symbiotic system with disease and delay', Nonlinear Studies, vol. 25, no. 3, pp. 535-557.
Kundu K, Samanta S, Panday P, Pal N, Khan Q, Chattopadhyay J. Study of a symbiotic system with disease and delay. Nonlinear Studies. 2018 Jan 1;25(3):535-557.
Kundu, Kusumika ; Samanta, Sudip ; Panday, Pijush ; Pal, Nikhil ; Khan, Qamar ; Chattopadhyay, Joydev. / Study of a symbiotic system with disease and delay. In: Nonlinear Studies. 2018 ; Vol. 25, No. 3. pp. 535-557.
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