Abstract：
:The present paper studies a predator-prey fishery model which incorporates the independent harvesting strategies and nonlinear impact of an anthropogenic toxicant. Both fish populations are harvested with different harvesting efforts, and the cases for the presence and non-presence of harvesting effort are discussed. The prey fish population is assumed to be infected by the toxicant directly which causes indirect infection to predator fish population through the feeding process. Each equilibrium of the proposed system is examined by analyzing the respective local stability properties. Dynamical behavior and bifurcations are studied with the assistance of threshold conditions influencing the persistence and extinction of both predator and prey. Bionomic equilibrium solutions for three possible cases are investigated with certain restrictions. Optimal harvesting policy is explored by utilizing the Pontryagin's Maximum Principle to optimize the profit while maintaining the sustainability of the marine ecosystem. Bifurcation analysis showed that the harvesting parameters are the key elements causing fishery extinction. Numerical simulations of bionomic and optimal equilibrium solutions showed that the presence of toxicant has a detrimental effect on the fish populations.
journal_name
Bull Math Bioljournal_title
Bulletin of mathematical biologyauthors
Ang TK,Safuan HM,Sidhu HS,Jovanoski Z,Towers INdoi
10.1007/s11538-019-00627-8subject
Has Abstractpub_date
2019-07-01 00:00:00pages
2748-2767issue
7eissn
0092-8240issn
1522-9602pii
10.1007/s11538-019-00627-8journal_volume
81pub_type
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