TY - JOUR
T1 - A New Stage Structure Predator-Prey Model with Diffusion
AU - Alkhasawneh, Raed Ali
N1 - Publisher Copyright:
© 2021, The Author(s), under exclusive licence to Springer Nature India Private Limited.
PY - 2021/6
Y1 - 2021/6
N2 - In this paper, a new model of stage-structured predator–prey with diffusion is formulated with a delay term and adult predators’ functional response which it satisfies certain conditions. Moreover, a three non-negative equilibria points are created, the existence and the global stability of each visible point are analyzed. Furthermore, the existence of a traveling wavefront solution of the formulated model without the delay term is invesitgated where the minimum wave speed is found. Finally, it is shown that the wave speed of the formulated model is slowed down when the delay term is introduced by solving the model numerically using Maple software.
AB - In this paper, a new model of stage-structured predator–prey with diffusion is formulated with a delay term and adult predators’ functional response which it satisfies certain conditions. Moreover, a three non-negative equilibria points are created, the existence and the global stability of each visible point are analyzed. Furthermore, the existence of a traveling wavefront solution of the formulated model without the delay term is invesitgated where the minimum wave speed is found. Finally, it is shown that the wave speed of the formulated model is slowed down when the delay term is introduced by solving the model numerically using Maple software.
KW - Prey-predator model
KW - Stability
KW - Stage structure
KW - Wavefronts
UR - https://www.scopus.com/pages/publications/85106878462
U2 - 10.1007/s40819-021-01036-z
DO - 10.1007/s40819-021-01036-z
M3 - Article
AN - SCOPUS:85106878462
SN - 2349-5103
VL - 7
JO - International Journal of Applied and Computational Mathematics
JF - International Journal of Applied and Computational Mathematics
IS - 3
M1 - 113
ER -
