Bifurcation analysis and chaos control for a plant–herbivore model with weak predator functional response by Qamar Din, M. Sajjad Shabbir, M. Asif Khan, Khalil Ahmad

“…Discrete-time models are frequently used for describing the dynamics of plants and herbivores interaction with non-overlapping generations, such that a new generation replaces the old at regular time intervals. Keeping in view the interaction of the apple twig borer and the grape vine, the qualitative behaviour of a discrete-time plant–herbivore model is investigated with weak predator functional response. …”
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A dynamically consistent nonstandard finite difference scheme for a predator–prey model by Muhammad Sajjad Shabbir, Qamar Din, Muhammad Safeer, Muhammad Asif Khan, Khalil Ahmad

“…Discrete-time models are frequently used for describing the dynamics of predator and prey interaction with non-overlapping generations, such that a new generation replaces the old at regular time intervals. Keeping in view the dynamical consistency for continuous models, a nonstandard finite difference scheme is proposed for a class of predator–prey systems with Holling type-III functional response. …”
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