Complex Population Dynamics in Heterogeneous Environments: Effects of Random and Directed Animal Movements
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Vikas Rai
und
Nilesh Kumar Thakur
Abstract
In this paper, we have investigated the complex dynamics of a one-dimensional spatial nonlinear coupled reaction-diffusion system with a Holling type IV functional response, akin to standard Michaelis-Menten inhibitory kinetics. Prey-taxis is included in a general reaction-diffusion equation to incorporate the active movement of predator species towards regions with high prey concentrations or if the predator is following some sort of cue (such as odor) to find the prey. We have carried out stability analysis of both the non-spatial model without diffusive spreading and of the spatial model. We performed extensive computer simulations to identify various parameter ranges for stable homogeneous solution. Our findings specifically elucidate the role of predator diffusion and prey-taxis in controlling emergent structures, and transitions towards spatio-temporal chaos. We observe that the increasing predator random movement and moderate value of prey-taxis stabilize the system.
©2012 by De Gruyter
Artikel in diesem Heft
- Frontmatter
- Investigations of Evaluating Energy of Blast-induced Seismic Wave by Pressure in Elastic Zone
- Dynamic Growth and Coalescence of Drilled Voids in Pure Copper Sheets
- Energy Absorption Characteristics of Closed-cell AZ91 Magnesium Alloy Foam
- The Expansion Model of Debris Cloud Induced by Oblique Hypervelocity Impact
- Study on Dynamic Response of Visco-elastic Plate Under Transverse Periodic Load
- Ballistic Impact Characteristics of Flat-nose Projectile Penetrating Concrete and Soil Compound Target
- Non-linear Mathematical Model for Peristaltic Motion of Bio-fluids in a Channel and Tube
- Mass Loss and Nose Shape Change on Ogive-nose Steel Projectiles During Concrete Penetration
- Homotopy Perturbation Method for Flow of a Third-grade Fluid Through a Vertical Concentric Annulus
- The Soret Effect with the D1Q2 and D2Q4 Lattice Boltzmann Model
- Error Estimates of Homogenization Theory
- Complex Population Dynamics in Heterogeneous Environments: Effects of Random and Directed Animal Movements
Artikel in diesem Heft
- Frontmatter
- Investigations of Evaluating Energy of Blast-induced Seismic Wave by Pressure in Elastic Zone
- Dynamic Growth and Coalescence of Drilled Voids in Pure Copper Sheets
- Energy Absorption Characteristics of Closed-cell AZ91 Magnesium Alloy Foam
- The Expansion Model of Debris Cloud Induced by Oblique Hypervelocity Impact
- Study on Dynamic Response of Visco-elastic Plate Under Transverse Periodic Load
- Ballistic Impact Characteristics of Flat-nose Projectile Penetrating Concrete and Soil Compound Target
- Non-linear Mathematical Model for Peristaltic Motion of Bio-fluids in a Channel and Tube
- Mass Loss and Nose Shape Change on Ogive-nose Steel Projectiles During Concrete Penetration
- Homotopy Perturbation Method for Flow of a Third-grade Fluid Through a Vertical Concentric Annulus
- The Soret Effect with the D1Q2 and D2Q4 Lattice Boltzmann Model
- Error Estimates of Homogenization Theory
- Complex Population Dynamics in Heterogeneous Environments: Effects of Random and Directed Animal Movements
