ROLE OF MIGRATORY BIRDS UNDER ENVIRONMENTAL FLUCTUATION — A MATHEMATICAL STUDY

DOI10.1142/S0218339008002423zbMath1148.92030MaRDI QIDQ3530574

Samrat Chatterjee, Samaresh Pal, Joydev Chattopadhyay

Publication date: 20 October 2008

Published in: Journal of Biological Systems (Search for Journal in Brave)

zbMATH Keywords

controlstochastic perturbationsstandard incidenceeco-epidemiological systemIto stochastic differential system

Mathematics Subject Classification ID

Epidemiology (92D30) Stochastic ordinary differential equations (aspects of stochastic analysis) (60H10) Dynamical systems in biology (37N25) Ecology (92D40) Asymptotic properties of solutions to ordinary differential equations (34D05) Applications of Brownian motions and diffusion theory (population genetics, absorption problems, etc.) (60J70)

Related Items (7)

On a new eco-epidemiological model for migratory birds with modified Leslie-Gower functional schemes ⋮ Analysis of a nonautonomous model for migratory birds with saturation incidence rate ⋮ A mathematical model for the spread of West Nile virus in migratory and resident birds ⋮ Effects of pulse culling on population growth of migratory birds and economical birds ⋮ On the dynamics of a nonautonomous predator-prey model with Hassell-Varley type functional response ⋮ A new non-autonomous model for migratory birds with Leslie-Gower Holling-type II schemes and saturation recovery rate ⋮ Alternative prey source coupled with prey recovery enhance stability between migratory prey and their predator in the presence of disease

Cites Work

• Predator-prey populations with parasitic infection
• A bifurcation analysis of a simple phytoplankton and zooplankton model
• Epidemiological models for heterogeneous populations: Proportionate mixing, parameter estimation, and immunization programs
• Effects of environmental fluctuation on plankton allelopathy
• Modeling the role of viral disease in recurrent phytoplankton blooms
• Stability of epidemic model with time delays influenced by stochastic perturbations
• On the stability properties of a stochastic model for phage-bacteria interaction in open marine environment
• Four SEI endemic models with periodicity and separatrices
• Controlling disease in migratory bird population: a probable solution through mathematical study
• Role of migratory bird population in a simple eco-epidemiological model
• Ratio-dependent predator–prey model: effect of environmental fluctuation and stability

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