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Table 1.

Variable and parameter with details descriptions.

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Table 1 Expand

Fig 1.

Illustrations of the sequential trends in the populations of

(a) Prey, (b) Infected Prey, and (c) Predator are presented for varying levels of the disease transmission rate (). The other parameters are set as follows: and [47].

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Fig 1 Expand

Fig 2.

Illustrations of the sequential trends in the populations of

(a) Prey, (b) Infected Prey, and (c) Predator for are presented for varying levels of the Allee parameters (). The other parameters are set as follows: and [47].

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Fig 2 Expand

Fig 3.

Illustrations of the sequential trends in the populations of

(a) Susceptible Prey, (b) Infected Prey, and (c) Predator for are presented for varying levels of the Allee parameters (). The other parameters are set as follows: and [47].

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Fig 3 Expand

Fig 4.

Illustrations of the sequential trends in the populations of

(a) Prey, (b) Infected Prey, and (c) Predator for are presented for varying levels of the controlling behavioral parameters (). Here, is presumed as fixed values (like constant) not the dynamic. The other parameters are set as follows: and [47].

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Fig 4 Expand

Fig 5.

The figure presents a bifurcation diagram depicting equilibria, oscillatory dynamics, and chaotic behavior about the parameter

. The subpanels (a), (b), and (c) show the trends for Susceptible Prey, Infected Prey, and Predator, respectively. Three different values for the Allee parameter are considered: , and . The other parameters are set as follows: and [47].

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Fig 5 Expand

Fig 6.

Illustrations of the sequential trends in the populations of

(a) Prey, (b) Infected Prey, and (c) Predator by considering behavioral dynamics for varying levels of the associated costs () and (). The other parameters are set as follows: and [47].

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Fig 6 Expand

Fig 7.

The figure presents a bifurcation diagram depicting equilibria, oscillatory dynamics, and chaotic behavior about the parameter

. The subpanels (a), (b), and (c) show the trends for Prey, Infected Prey, and Predator, respectively. Three different values for the cost are considered: , and . The other parameters are set as follows: and [47].

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Fig 7 Expand

Fig 8.

The figure presents a bifurcation diagram depicting equilibria, oscillatory dynamics, and chaotic behavior about the parameter

. The subpanels (a), (b), and (c) show the trends for Prey, Infected Prey, and Predator, respectively. Three different values for the Allee parameter are considered: , and . The other parameters are set as follows: and [47].

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Fig 8 Expand

Fig 9.

The figure displays a two-dimensional phase diagram illustrating the dynamics of (*-i) Prey, (*-ii) Infected Prey, and (*-iii) Predator as functions of

and for . Subpanels (a-*) and (b-*) present the outcomes for the Allee parameters and respectively. The other parameters are set to and [47].

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Fig 9 Expand

Fig 10.

The figure displays a two-dimensional phase diagram illustrating the dynamics of (*-i) Prey, (*-ii) Infected Prey, and (*-iii) Predator as functions of

and for . Subpanels (a-*) and (b-*) present the outcomes for the Allee parameters and respectively. The other parameters are set to and [47].

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Fig 10 Expand