Population models with quasi-constant-yield harvest rates

DOI10.3934/mbe.2017029zbMath1353.34054OpenAlexW2530155642WikidataQ46455539 ScholiaQ46455539MaRDI QIDQ335295

Kunquan Lan, Wei Lin

Publication date: 2 November 2016

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

Full work available at URL: https://doi.org/10.3934/mbe.2017029

zbMATH Keywords

Dirichlet boundary conditionfixed point indexlogistic population modelquasi-constant-yield harvest ratesemi-positone integral equation

Mathematics Subject Classification ID

Population dynamics (general) (92D25) Particular nonlinear operators (superposition, Hammerstein, Nemytski?, Uryson, etc.) (47H30) Fixed-point theorems (47H10) Positive solutions to nonlinear boundary value problems for ordinary differential equations (34B18) Qualitative investigation and simulation of ordinary differential equation models (34C60) Boundary eigenvalue problems for ordinary differential equations (34B09)

Related Items (3)

Lyapunov type inequalities for Hammerstein integral equations and applications to population dynamics ⋮ Positive solutions of elliptic boundary value problems and applications to population dynamics ⋮ Unnamed Item

Cites Work

• Unnamed Item
• Unnamed Item
• Phase portraits of predator--prey systems with harvesting rates
• Phase portraits, Hopf bifurcations and limit cycles of Leslie-Gower predator-prey systems with harvesting rates
• Eigenvalues of semi-positone Hammerstein integral equations and applications to boundary value problems
• Coexistence properties of some predator-prey systems under constant rate harvesting and stocking
• Constant rate population harvesting: Equilibrium and stability
• Stability regions in predator-prey systems with constant-rate prey harvesting
• Spatial patterning of the spruce budworm
• Positive solutions of semilinear differential equations with singularities
• Stability and bifurcation of steady-state solutions for predator-prey equations
• Positive solutions for semipositone \((k,n-k)\) conjugate boundary value problems
• An extension of Tietze's theorem
• On Positive Solutions of Some Pairs of Differential Equations
• Multiple Positive Solutions of Semilinear Differential Equations with Singularities
• Coexistence Theorems of Steady States for Predator-Prey Interacting Systems
• Fixed Point Equations and Nonlinear Eigenvalue Problems in Ordered Banach Spaces
• Diffusive logistic equation with constant yield harvesting, I: Steady States
• Existence results for superlinear semipositone BVP’s
• MULTIPLE POSITIVE SOLUTIONS OF SEMI-POSITONE STURM–LIOUVILLE BOUNDARY VALUE PROBLEMS
• Bifurcations of a Ratio-Dependent Predator-Prey System with Constant Rate Harvesting
• On Population Resilience to External Perturbations
• RANDOM DISPERSAL IN THEORETICAL POPULATIONS
• Positive solutions of semi-positone Hammerstein integral equations and applications
• Positive solutions of semi-positone Hammerstein integral equations and applications
• Multiple positive solutions of Hammerstein integral equations with singularities

This page was built for publication: Population models with quasi-constant-yield harvest rates