Open AccessPasture–livestock dynamics with density‐dependent harvest and changing environment
Author(s) -
Bergland Harald,
Wyller John,
Burlakov Evgenii
Publication year - 2019
Publication title -
natural resource modeling
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.28
H-Index - 32
eISSN - 1939-7445
pISSN - 0890-8575
DOI - 10.1111/nrm.12213
Subject(s) - herbivore , pasture , biomass (ecology) , predation , forage , density dependence , carrying capacity , population , fodder , ecology , livestock , functional response , environmental science , population density , resource (disambiguation) , predator , biology , demography , sociology , computer network , computer science
We model pasture–livestock interactions by means of a predator–prey model, with the biomass vegetation as prey and the herbivores as predators. The harvesting rate is a sigmoidal function of the livestock density. We identify the necessary biological and harvest conditions for different equilibria of this model to exist. The system possesses no interior equilibrium points for the mortality rate exceeding a certain threshold. For the regime of low and moderate values of the mortality rate and a high consumption rate per animal, a unique finite and asymptotically stable state exists. We incorporate the effect of forage resource deterioration over time, causing extra decrease in the herbivore population and in the biomass density. We also include the effect of fluctuations in the availability of fodder by allowing for a seasonal periodic variation in the conversion efficiency. This results in extra oscillations superimposed on the general trends of the unperturbed system. Recommendations for Resource ManagersDepending on biological and harvest conditions, the system possesses up to three equilibrium states. Forage resource deterioration over time causes an extra decrease in the herbivore population and in the biomass density. A seasonal periodic variation in the conversion efficiency results in oscillations mainly in the herbivore density superimposed on the general trends of the unperturbed system.