Dynamical behavior of a diseased predator-prey model with fear effect and prey harvesting

Sıva Pradeep M; Nandha Gopal Thangaraj; Sivabalan M; Deepak N P; Magudeeswaran S

Makale detayları

Dynamical behavior of a diseased predator-prey model with fear effect and prey harvesting

Yazarlar:

Sıva Pradeep M | Nandha Gopal Thangaraj | Sivabalan M | Deepak N P | Magudeeswaran S

Yayıncı:

Ankara University

Ana Başlıklar:

Biological Mathematics | Dynamical Systems in Applications

Dergi:

Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics Vol.73 Issue 4, pp.875-893

Belge Tipi:

Makale

Yayın Tarihi:

12/2024

Belge Dili:

İngilizce

Document ID (Org No.):

2001331946

pISSN:

1303-5991

Anahtar kelimeler:

Özet:

 This article consists of a three-species food web model that has been developed by considering the interaction between susceptible prey, infected prey and predator species. It is assumed that susceptible prey species grow logistically in the absence of predators. It is assumed that predators consume susceptible and infected prey . We consider the effect of fear on susceptible prey due to predator species. Again, the harvesting of susceptible and infected prey has been considered. Furthermore, the predator consumes its prey in the form of Holling-type interactions. The positive invariance, positivity, and boundedness of the system are discussed. The conditions of all biologically feasible equilibrium points have been examined. The local stability of the systems around these equilibrium points is investigated. Furthermore, the occurrence of Hopf-bifurcation concerning the harvesting h of the system has been investigated. Finally, we demonstrate some numerical simulation results to illustrate our main analytical findings.

 This article consists of a three-species food web model that has been developed by considering the interaction between susceptible prey, infected prey and predator species. It is assumed that susceptible prey species grow logistically in the absence of predators. It is assumed that predators consume susceptible and infected prey . We consider the effect of fear on susceptible prey due to predator species. Again, the harvesting of susceptible and infected prey has been considered. Furthermore, the predator consumes its prey in the form of Holling-type interactions. The positive invariance, positivity, and boundedness of the system are discussed. The conditions of all biologically feasible equilibrium points have been examined. The local stability of the systems around these equilibrium points is investigated. Furthermore, the occurrence of Hopf-bifurcation concerning the harvesting h of the system has been investigated. Finally, we demonstrate some numerical simulation results to illustrate our main analytical findings.

 This article consists of a three-species food web model that has been developed by considering the interaction between susceptible prey, infected prey and predator species. It is assumed that susceptible prey species grow logistically in the absence of predators. It is assumed that predators consume susceptible and infected prey . We consider the effect of fear on susceptible prey due to predator species. Again, the harvesting of susceptible and infected prey has been considered. Furthermore, the predator consumes its prey in the form of Holling-type interactions. The positive invariance, positivity, and boundedness of the system are discussed. The conditions of all biologically feasible equilibrium points have been examined. The local stability of the systems around these equilibrium points is investigated. Furthermore, the occurrence of Hopf-bifurcation concerning the harvesting h of the system has been investigated. Finally, we demonstrate some numerical simulation results to illustrate our main analytical findings.

 This article consists of a three-species food web model that has been developed by considering the interaction between susceptible prey, infected prey and predator species. It is assumed that susceptible prey species grow logistically in the absence of predators. It is assumed that predators consume susceptible and infected prey . We consider the effect of fear on susceptible prey due to predator species. Again, the harvesting of susceptible and infected prey has been considered. Furthermore, the predator consumes its prey in the form of Holling-type interactions. The positive invariance, positivity, and boundedness of the system are discussed. The conditions of all biologically feasible equilibrium points have been examined. The local stability of the systems around these equilibrium points is investigated. Furthermore, the occurrence of Hopf-bifurcation concerning the harvesting h of the system has been investigated. Finally, we demonstrate some numerical simulation results to illustrate our main analytical findings.

Makale detayları

Dynamical behavior of a diseased predator-prey model with fear effect and prey harvesting

Yazarlar:

Sıva Pradeep M | Nandha Gopal Thangaraj | Sivabalan M | Deepak N P | Magudeeswaran S

Yayıncı:

Ankara University

Ana Başlıklar:

Biological Mathematics | Dynamical Systems in Applications

Dergi:

Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics Vol.73 Issue 4, pp.875-893

Belge Tipi:

Makale

Yayın Tarihi:

12/2024

Belge Dili:

İngilizce

Document ID (Org No.):

2001331946

pISSN:

1303-5991

Eco-epidemiological model

Hopf-bifurcation

fear effect

stability

prey harvesting

Sayı

Makale detayları

Dynamical behavior of a diseased predator-prey model with fear effect and prey harvesting

Yazarlar: Sıva Pradeep M | Nandha Gopal Thangaraj | Sivabalan M | Deepak N P | Magudeeswaran S

Yayıncı: Ankara University

Ana Başlıklar: Biological Mathematics | Dynamical Systems in Applications

Dergi: Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics Vol.73 Issue 4, pp.875-893

Belge Tipi: Makale

Yayın Tarihi: 12/2024

Belge Dili: İngilizce

Document ID (Org No.): 2001331946

pISSN: 1303-5991

Eco-epidemiological model

Hopf-bifurcation

fear effect

stability

prey harvesting

Sayı

Yazarlar:

Sıva Pradeep M | Nandha Gopal Thangaraj | Sivabalan M | Deepak N P | Magudeeswaran S

Yayıncı:

Ankara University

Ana Başlıklar:

Biological Mathematics | Dynamical Systems in Applications

Dergi:

Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics Vol.73 Issue 4, pp.875-893

Belge Tipi:

Makale

Yayın Tarihi:

12/2024

Belge Dili:

İngilizce

Document ID (Org No.):

2001331946

pISSN:

1303-5991