Modelling a single-species closed habitat fishery with spatial heterogeneity and time delay

DOI10.1007/BF02832048zbMath1123.35324MaRDI QIDQ861472

Banibrata Mukhopadhyay, Rakhi Bhattacharyya

Publication date: 29 January 2007

Published in: Journal of Applied Mathematics and Computing (Search for Journal in Brave)

zbMATH Keywords

Neumann boundary value problemharvestingdistributed time delayupper-lower solution pairStability criteria

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Population dynamics (general) (92D25) Partial functional-differential equations (35R10)

Cites Work

• Delay differential equations: with applications in population dynamics
• An analysis of an ordinary differential equation model for a two-species predator-prey system with harvesting and stocking
• Stability regions and transition phenomena for harvested predator-prey systems
• Stability regions in predator-prey systems with constant-rate prey harvesting
• Parameter domains for instability of uniform states in systems with many delays
• Mathematical biology. Vol. 1: An introduction.
• Dynamics of a food-limited population model incorporating nonlocal delays on a finite domain
• Predator-prey models with delay and prey harvesting
• Existence theorems for semilinear parabolic systems with functionals
• Coexistence Region and Global Dynamics of a Harvested Predator-Prey System
• Asymptotically Autonomous Semiflows: Chain Recurrence and Lyapunov Functions
• Spatial Structures and Periodic Travelling Waves in an Integro-Differential Reaction-Diffusion Population Model
• STABILITY ANALYSIS OF A PREY-PREDATOR MODEL WITH DELAY AND HARVESTING
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