Complete Science & Technical News Portal

- Optimal Methods of Input for Pedagogic Engineering Software
- Recent Observations on Climate Resilient Water Management Practices for in situ Moisture Conservation
- Knowledge Relationships in Freshwater Governance
- Critical Estimation of Strength of Coating of Solvent Layer on the Basis of Adhesive Building Mixture
- An Advanced Study of Ultrasonic Velocity, Density and Compressibility by Using Polar-Nonpolar Binary Liquid Mixtures at 303.15 K
- Study on Biodegradation and Dissipation of 14C-Carbofuran in Clay Soil from Loukkos Perimeter, Northwestern Morocco
- Evaluation of Nutrient Removal from Different Parts of Koroneiki Olive Trees Grown in Sandy Soil as a Base of Fertilizer Recommendation in Egypt
- Characteristics of Afzelia africana Seed under Compressive Loading: An Empirical Study
- Identification and Assessment of Physical Transportation Infrastructure Vulnerable to Sea Level Rise
- Organizational Justice and Commitment to Work in the Nigerian Public Sector

We have considered in this paper a very general predator-prey system of the Holling type with selective harvesting and where both of the species follow logistic evolution. Along with the conditions of life, the uniform limits of the structure have been studied. In addition, the criteria for local stability of different equilibrium points were obtained and the global stability of the system was discussed, considering the appropriate Lyapunov function. After that, we studied the optimal harvesting strategy for the scheme using the Pontryagin Maximal Theory. Ultimately, some numerical examples have demonstrated the problem. Finally, with the aid of a numerical illustration, we discussed the problem by using arbitrary feasible parametric values and by using MATLAB, we observed from the stability diagram (Fig. 1) and phase portrait (Fig. 2) that the steady state value of the Prey population increases as the p values decrease. This is quite a positive outcome for the organisms’ ecological survival. By integrating time delay and stochasticity into the framework, our model can be expanded.

**Author (s) Details**

**Dipankar Sadhukhan
**Department of Mathematics, Haldia Government College, Haldia-721657, W.B., India.

View Book :- https://stm.bookpi.org/TPMCS-V6/issue/view/6

Related Posts