The effects of planting and harvesting on endangered species in discrete competitive systems

DOI10.1016/0025-5564(94)00033-VzbMath0820.92024WikidataQ52349416 ScholiaQ52349416MaRDI QIDQ1804835

Abdul-Aziz Yakubu

Publication date: 18 September 1995

Published in: Mathematical Biosciences (Search for Journal in Brave)

zbMATH Keywords

attractorspersistenceextinctionomega limit setsharvestingcoexistenceendangered speciesplantingexclusion principlesdiscretely reproducing ecosystem

Mathematics Subject Classification ID

Related Items (19)

Pre-images of invariant sets of a discrete-time two-species competition model ⋮ Asymptotic dynamics of the Leslie-gower competition system with Allee effects and stocking ⋮ Stability for a new discrete ratio-dependent predator-prey system ⋮ Periodic versus constant harvesting of discretely reproducing fish populations ⋮ Dynamics of a class of host-parasitoid models with external stocking upon parasitoids ⋮ Transcritical bifurcation and flip bifurcation of a new discrete ratio-dependent predator-prey system ⋮ Adaptive delayed reproduction in a 2-dimensional discrete-time competition model ⋮ Global dynamics of modified discrete Lotka-Volterra model ⋮ Basins of attraction for two-species competitive model with quadratic terms and the singular Allee effect ⋮ Permanence and global attractivity for discrete nonautonomous two-species Lotka-Volterra competitive system with delays and feedback controls ⋮ Global dynamics of a discrete two-species Lottery-Ricker competition model ⋮ Exclusion and dominance in discrete population models via the carrying simplex ⋮ Two species competitive model with the allee effect ⋮ Constant proportion harvest policies: dynamic implications in the Pacific halibut and atlantic cod fisheries ⋮ On the stability in a discrete two-species competition system ⋮ Open problems and conjectures ⋮ Coexistence and extinction in a competitive exclusion Leslie/Gower model with harvesting and stocking ⋮ Using stocking or harvesting to reverse period-doubling bifurcations in discrete population models ⋮ Global Stability of Cycles: Lotka-Volterra Competition Model With Stocking

Cites Work

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• The stability and control of discrete processes
• Coexistence for systems governed by difference equations of Lotka- Volterra type
• The discrete dynamics of symmetric competition in the plane
• Mutual exclusion versus coexistence for discrete competitive systems
• The subcritical collapse of predator populations in discrete-time predator-prey models
• Constant rate population harvesting: Equilibrium and stability
• Discrete time models for two-species competition
• Planting and harvesting for pioneer-climax models
• Pioneer exclusion in a one-hump discrete pioneer-climax competitive system
• PERSISTENCE IN DISCRETE MODELS OF A POPULATION WHICH MAY BE SUBJECTED TO HARVESTING
• Uniformly Persistent Semidynamical Systems
• Persistence in Discrete Semidynamical Systems
• Period Three Implies Chaos
• Global attractors in competitive systems
• Simple mathematical models with very complicated dynamics

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