Biological signaling plays a crucial role in predator–prey interaction systems, serving both intraspecific and interspecific communication purposes. Prey populations utilize signaling internally, employing honest signals among themselves to enhance their defense capabilities. Conversely, they also use signaling for interspecific communication, emitting cues to predators to increase their own chances of survival. Recently, Al-Salman et al. [Appl. Math. Modell. 89, 1405 (2021)] proposed a two-species interaction model incorporating Holling Type II predation along with honest signals and cues. In this paper, we extend and modify their study by incorporating factors such as prey’s experience rate and environmental toxicity in prey populations. We conduct a comprehensive mathematical and numerical analysis of the model. We investigate the positive invariance and dissipativeness of the model, discuss the existence of equilibrium points and analyze the behavior of the system around all equilibrium points. Particularly, we determine conditions for local stability and Hopf bifurcation of the system. Furthermore, we perform a detailed numerical analysis to study periodic solutions through Hopf bifurcations in the proposed system. We plot two-parameter bifurcation diagrams to examine changes in the system with combined effects, identifying critical values for stability switching. There is no chaotic dynamics seen in our investigation. Numerical results indicate that the system tends to stabilize when the experience rate is high, and the rate of error-prone honest signals regulates system stability. Additionally, we analyze how environmental toxicity affects the stability of the system.
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