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Journal of Applied Nonlinear Dynamics 15(2) (2026) 401--408 | DOI:10.5890/JAND.2026.06.011

Kendall H. Bearden, Kwadwo Antwi-Fordjour

Department of Mathematics and Computer Science, Samford University, Birmingham, AL 35229, USA

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Abstract

In this research, we examine a modified Lotka-Volterra predator-prey model with a square root functional response. We have identified a key result regarding the finite-time extinction of the prey species and provided a comprehensive proof to support this finding. An illustrative example is also included to substantiate our theoretical result. Furthermore, our numerical simulations suggest that the phase portrait exhibits two distinct modes of behavior, where certain positive initial conditions result in convergence toward the predator axis in finite time.

References

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