Research Article, J Biodivers Manage Forestry Vol: 2 Issue: 4
Emergence of Spatial Patterns in a Simple Model of Wetland Ecosystem: Application to Keoladeo National Park (KNP), India
| Ranjit Kumar Upadhyay* and SK Tiwari |
| Department of Applied Mathematics, Indian School of Mines, Dhanbad-826 004, Jharkhand, India |
| Corresponding author : Dr. Ranjit Kumar Upadhyay Department of Applied Mathematics, Indian School of Mines, Dhanbad-826 004, Jharkhand, India Tel: +91 326 2235482; Fax: +91 326 2210028 E-mail: ranjit_ism@yahoo.com |
| Received: July 29, 2013 Accepted: December 14, 2013 Published: December 18, 2013 |
| Citation: Upadhyay RK, Tiwari SK (2013) Emergence of Spatial Patterns in a Simple Model of Wetland Ecosystem: Application to Keoladeo National Park (KNP), India. J Biodivers Manage Forestry 2:4. doi:10.4172/2327-4417.1000118 |
Abstract
Emergence of Spatial Patterns in a Simple Model of Wetland Ecosystem: Application to Keoladeo National Park (KNP), India
An attempt has been made to understand the spatiotemporal dynamics of good biomass, bad biomass and bird population in the wetland part of KNP. Spatiotemporal distributions of species biomass are simulated using the diffusivity assumptions realistic for natural wetland systems. Stability analysis, Hopf-bifurcation and diffusion-induced instability of the model system have been carried out. Computer simulations performed to identify various parameters for the good health of the wetland ecosystem. We observed that growth rate and carrying capacity for the bad biomass, carrying capacity and half-saturation constant of the good biomass are responsible for the good health of the wetland ecosystem. The spatial movements of good biomass acquires stable stationary patterns in the presence of bad biomass which performs swinging motion and selects a steady state spatial pattern, thereby ensuring the persistence as well as extinction of multiple species system in space and time.
