Modeling and analysis of a predator–prey type eco-epidemic system with time delay
Modeling Earth Systems and Environment, ISSN: 2363-6211, Vol: 7, Issue: 3, Page: 1753-1768
2021
- 11Citations
- 3Captures
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Example: if you select the 1-year option for an article published in 2019 and a metric category shows 90%, that means that the article or review is performing better than 90% of the other articles/reviews published in that journal in 2019. If you select the 3-year option for the same article published in 2019 and the metric category shows 90%, that means that the article or review is performing better than 90% of the other articles/reviews published in that journal in 2019, 2018 and 2017.
Citation Benchmarking is provided by Scopus and SciVal and is different from the metrics context provided by PlumX Metrics.
Article Description
In this research work, a delay-induced eco-epidemic model using a reconstructed Leslie–Gower-type growth rate is formulated and analyzed. An extended qualitative nature of the solutions of the model system like boundedness, strong uniform persistence, and permanence is examined to secure the longstanding viability of the system. The stability of the system is investigated at different stationary points, and sufficient conditions are obtained for the local as well as global stability. The dynamics of the delay-induced model system, including the Hopf bifurcation phenomenon, is rigorously studied around the coexisting equilibrium using the normal form method and center manifold theorem. Also, the length of the delay to preserve the stability of the coexisting equilibrium is evaluated. It is observed that the effect of infection on the total harvest is negligible, but the effort to harvest can reduce the infection and preserve the system’s stability. The results may help to determine the point of reference for disease persistence and extinction. Based on our analytical results, several numerical simulations are also performed.
Bibliographic Details
http://www.scopus.com/inward/record.url?partnerID=HzOxMe3b&scp=85088823075&origin=inward; http://dx.doi.org/10.1007/s40808-020-00893-9; https://link.springer.com/10.1007/s40808-020-00893-9; https://link.springer.com/content/pdf/10.1007/s40808-020-00893-9.pdf; https://link.springer.com/article/10.1007/s40808-020-00893-9/fulltext.html; https://dx.doi.org/10.1007/s40808-020-00893-9; https://link.springer.com/article/10.1007/s40808-020-00893-9
Springer Science and Business Media LLC
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