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Ordinary Differential Equations and Applied Dynamics Commons™
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- Asymptotic analysis (1)
- Bifurcation (1)
- Bionomic harvesting (1)
- Chaotic behavior (1)
- Commensal (1)
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- Control variable (1)
- Evolution Equations (1)
- Fourier transforms methods (1)
- Global stability (1)
- Landau Equation (1)
- Maximum sustainable yield (1)
- Nonlinear boundary value problem (1)
- Optimal harvesting (1)
- Pattern formation (1)
- Perturbation analysis (1)
- Pontryagin’s principle (1)
- Population dynamics (1)
- Routh-Hurwitz criteria (1)
- Stability (1)
- Steady states (1)
- Stochastic perturbation (1)
Articles 1 - 3 of 3
Full-Text Articles in Ordinary Differential Equations and Applied Dynamics
Long Wavelength Analysis Of A Model For The Geographic Spread Of A Disease, Layachi Hadji
Long Wavelength Analysis Of A Model For The Geographic Spread Of A Disease, Layachi Hadji
Applications and Applied Mathematics: An International Journal (AAM)
We investigate the temporal and spatial evolution of the spread of an infectious disease by performing a long-wavelength analysis of a classical model for the geographic spread of a rabies epidemic in a population of foxes subject to idealized boundary conditions. We consider twodimensional and three-dimensional landscapes consisting of an infinite horizontal strip bounded by two walls a finite distance apart and a horizontal region bounded above and below by horizontal walls, respectively. A nonlinear partial differential evolution Equation for the leading order of infectives is derived. The Equation captures the space and time variations of the spread of the …
An Optimal Harvesting Strategy Of A Three Species Syn-Ecosystem With Commensalism And Stochasticity, M. N. Srinivas, A. Sabarmathi, K. S. Reddy, M. A. S. Srinivas
An Optimal Harvesting Strategy Of A Three Species Syn-Ecosystem With Commensalism And Stochasticity, M. N. Srinivas, A. Sabarmathi, K. S. Reddy, M. A. S. Srinivas
Applications and Applied Mathematics: An International Journal (AAM)
In this paper we have studied the stability of three typical species syn-ecosystem. The system comprises of one commensal S1 and two hosts S2 and S3 . Both S2 and S2 benefit S1 without getting themselves affected either positively or adversely. Further S2 is a commensal of S3 and S3 is a host of both S1 and S2. Limited resources have been considered for all the three species in this case. The model equations of the system constitute a set of three first order non-linear ordinary differential equations. …
Dynamics Of Phytoplankton, Zooplankton And Fishery Resource Model, B. Dubey, Atasi Patra, R. K. Upadhyay
Dynamics Of Phytoplankton, Zooplankton And Fishery Resource Model, B. Dubey, Atasi Patra, R. K. Upadhyay
Applications and Applied Mathematics: An International Journal (AAM)
In this paper, a new mathematical model has been proposed and analyzed to study the interaction of phytoplankton- zooplankton-fish population in an aquatic environment with Holloing’s types II, III and IV functional responses. It is assumed that the growth rate of phytoplankton depends upon the constant level of nutrient and the fish population is harvested according to CPUE (catch per unit effort) hypothesis. Biological and bionomical equilibrium of the system has been investigated. Using Pontryagin’s Maximum Principal, the optimal harvesting policy is discussed. Chaotic nature and bifurcation analysis of the model system for a control parameter have been observed through …