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Articles by T.K. Kar
Total Records ( 2 ) for T.K. Kar
  T.K. Kar and H. Matsuda
  This study analyzes the dynamics of a renewable resources in a region which is divided into two patches. The dynamics of the resource in these two patches is described using a realistic coupled differential system with heterogeneity in the intrinsic growth rates. The current analysis shows that MPAs is practicable in the management of resources population, which is beneficial to the conservation of ecological environment and resource population, though in some cases the extinction can not be eliminated. Our analysis also shows that reserving those areas with higher intrinsic growth rates does not provide sufficient spillover to benefit the fishing grounds via migration.
  T.K. Kar and H. Matsuda
  Traditional models of population growth assume that reducing the density will always result in the same or higher per-capita growth. This implies that populations are resilient, allowing them to recover rapidly when the factors that caused their decline are removed (e.g., fishing). However some populations experience reduced rates of survival and reproduction when reduced to very low densities. This reduced per-capita growth rate at low densities is called depensation. In this study we have considered a prey-predator model with strong Allee effect. We obtain the conditions for the existence of biological equilibrium and its stability is discussed. We have also discussed the bifurcation analysis of the model under different scenario. The bioeconomic models herein proposed, based on optimal control theory, can form a basis for more sustainable management. Mathematics Subject Classifications (2000): 34K20, 37G15, 49J15
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